Simplify 704/378 to Lowest Terms
704/378 simplified to its lowest terms is 352/189 (or 1.862434 in decimal). See how to reduce 704/378 using Greatest Common Divisor (GCD = 2).
Exact Answer
704/378 = 352/189
Simplified Fraction
352/189
Mixed Number
1 163/189
Decimal Value
1.862434
Percentage
186.2434%
Step-by-Step Solution: 704/378 = 352/189
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 704:
• Factors of 378:
• Factors of 704:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704• Factors of 378:
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD(704, 378) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (704) and denominator (378) by 2.
704 ÷ 2/378 ÷ 2 = 352/189
Step 3
Convert Improper Fraction to a Mixed Number
Because 352 is larger than 189, 352/189 can also be written as the mixed number 1 163/189.
352/189 = 1163/189
Visual Representation
The diagram below illustrates Simplify 704/378 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 352/189 |
| Mixed Number Form | 1 163/189 |
| Decimal Form | 1.862434 |
| Percentage | 186.2434% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 704/378 in simplest form?
704/378 simplified to lowest terms is 352/189.
What is the GCD (GCF) of 704 and 378?
The Greatest Common Divisor (GCD) of 704 and 378 is 2.
What are equivalent fractions to 704/378?
Equivalent fractions to 704/378 include 704/378, 1056/567, and 1408/756.