What is 1200/1572 Simplified? (Reduce 1200/1572 to Lowest Terms: 100/131)

Exact Answer

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Problem: Simplify 1200/1572 to Lowest Terms
Formula / Expression: 1200/1572 = 100/131
Final Answer: 100/131
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 1572: 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
Working: GCD(1200, 1572) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1200) and denominator (1572) by 12.
Working: 1200 ÷ 12/1572 ÷ 12 = 100/131

Key Values:
- Simplified Fraction: 100/131
- Mixed Number Form: 100/131
- Decimal Value: 0.763359
- Percentage: 76.3359%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1200-1572/
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1200/1572 = 100/131

Simplified Fraction

100/131

Mixed Number

Proper (100/131)

Decimal Value

0.763359

Percentage

76.3359%

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Step-by-Step Solution: 1200/1572 = 100/131

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
• Factors of 1572: 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572

GCD(1200, 1572) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1200) and denominator (1572) by 12.

1200 ÷ 12/1572 ÷ 12 = 100/131

Visual Representation

The diagram below illustrates Simplify 1200/1572 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`100/131`
Mixed Number Form	`100/131`
Decimal Form	`0.763359`
Percentage	`76.3359%`

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Frequently Asked Questions

What is 1200/1572 in simplest form?

1200/1572 simplified to lowest terms is 100/131.

What is the GCD (GCF) of 1200 and 1572?

The Greatest Common Divisor (GCD) of 1200 and 1572 is 12.

What are equivalent fractions to 1200/1572?

Equivalent fractions to 1200/1572 include 200/262, 300/393, and 400/524.