What is 264/1280 Simplified? (Reduce 264/1280 to Lowest Terms: 33/160)

Exact Answer

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Problem: Simplify 264/1280 to Lowest Terms
Formula / Expression: 264/1280 = 33/160
Final Answer: 33/160
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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 264: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
• Factors of 1280: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320
Working: GCD(264, 1280) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (264) and denominator (1280) by 8.
Working: 264 ÷ 8/1280 ÷ 8 = 33/160

Key Values:
- Simplified Fraction: 33/160
- Mixed Number Form: 33/160
- Decimal Value: 0.20625
- Percentage: 20.625%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-264-1280/
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264/1280 = 33/160

Simplified Fraction

33/160

Mixed Number

Proper (33/160)

Decimal Value

0.20625

Percentage

20.625%

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Step-by-Step Solution: 264/1280 = 33/160

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 264: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
• Factors of 1280: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320

GCD(264, 1280) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (264) and denominator (1280) by 8.

264 ÷ 8/1280 ÷ 8 = 33/160

Visual Representation

The diagram below illustrates Simplify 264/1280 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`33/160`
Mixed Number Form	`33/160`
Decimal Form	`0.20625`
Percentage	`20.625%`

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Frequently Asked Questions

What is 264/1280 in simplest form?

264/1280 simplified to lowest terms is 33/160.

What is the GCD (GCF) of 264 and 1280?

The Greatest Common Divisor (GCD) of 264 and 1280 is 8.

What are equivalent fractions to 264/1280?

Equivalent fractions to 264/1280 include 66/320, 99/480, and 132/640.