What is 462/828 Simplified? (Reduce 462/828 to Lowest Terms: 77/138)

Exact Answer

462/828 = 77/138

Simplified Fraction

77/138

Mixed Number

Proper (77/138)

Decimal Value

0.557971

Percentage

55.7971%

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Step-by-Step Solution: 462/828 = 77/138

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 462: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
• Factors of 828: 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276

GCD(462, 828) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (462) and denominator (828) by 6.

462 ÷ 6/828 ÷ 6 = 77/138

Visual Representation

The diagram below illustrates Simplify 462/828 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`77/138`
Mixed Number Form	`77/138`
Decimal Form	`0.557971`
Percentage	`55.7971%`

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Frequently Asked Questions

What is 462/828 in simplest form?

462/828 simplified to lowest terms is 77/138.

What is the GCD (GCF) of 462 and 828?

The Greatest Common Divisor (GCD) of 462 and 828 is 6.

What are equivalent fractions to 462/828?

Equivalent fractions to 462/828 include 154/276, 231/414, and 308/552.