Simplify 490/1624 to Lowest Terms
490/1624 simplified to its lowest terms is 35/116 (or 0.301724 in decimal). See how to reduce 490/1624 using Greatest Common Divisor (GCD = 14).
Exact Answer
490/1624 = 35/116
Simplified Fraction
35/116
Mixed Number
Proper (35/116)
Decimal Value
0.301724
Percentage
30.1724%
Step-by-Step Solution: 490/1624 = 35/116
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 490:
• Factors of 1624:
• Factors of 490:
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490• Factors of 1624:
1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624
GCD(490, 1624) = 14
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (490) and denominator (1624) by 14.
490 ÷ 14/1624 ÷ 14 = 35/116
Visual Representation
The diagram below illustrates Simplify 490/1624 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 35/116 |
| Mixed Number Form | 35/116 |
| Decimal Form | 0.301724 |
| Percentage | 30.1724% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 490/1624 in simplest form?
490/1624 simplified to lowest terms is 35/116.
What is the GCD (GCF) of 490 and 1624?
The Greatest Common Divisor (GCD) of 490 and 1624 is 14.
What are equivalent fractions to 490/1624?
Equivalent fractions to 490/1624 include 70/232, 105/348, and 140/464.