Simplify 1004/3424 to Lowest Terms
1004/3424 simplified to its lowest terms is 251/856 (or 0.293224 in decimal). See how to reduce 1004/3424 using Greatest Common Divisor (GCD = 4).
Exact Answer
1004/3424 = 251/856
Simplified Fraction
251/856
Mixed Number
Proper (251/856)
Decimal Value
0.293224
Percentage
29.3224%
Step-by-Step Solution: 1004/3424 = 251/856
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1004:
• Factors of 3424:
• Factors of 1004:
1, 2, 4, 251, 502, 1004• Factors of 3424:
1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424
GCD(1004, 3424) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1004) and denominator (3424) by 4.
1004 ÷ 4/3424 ÷ 4 = 251/856
Visual Representation
The diagram below illustrates Simplify 1004/3424 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 251/856 |
| Mixed Number Form | 251/856 |
| Decimal Form | 0.293224 |
| Percentage | 29.3224% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 1004/3424 in simplest form?
1004/3424 simplified to lowest terms is 251/856.
What is the GCD (GCF) of 1004 and 3424?
The Greatest Common Divisor (GCD) of 1004 and 3424 is 4.
What are equivalent fractions to 1004/3424?
Equivalent fractions to 1004/3424 include 502/1712, 753/2568, and 1004/3424.