Simplify 1024/1240 to Lowest Terms
1024/1240 simplified to its lowest terms is 128/155 (or 0.825806 in decimal). See how to reduce 1024/1240 using Greatest Common Divisor (GCD = 8).
Exact Answer
1024/1240 = 128/155
Simplified Fraction
128/155
Mixed Number
Proper (128/155)
Decimal Value
0.825806
Percentage
82.5806%
Step-by-Step Solution: 1024/1240 = 128/155
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1024:
• Factors of 1240:
• Factors of 1024:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024• Factors of 1240:
1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240
GCD(1024, 1240) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1024) and denominator (1240) by 8.
1024 ÷ 8/1240 ÷ 8 = 128/155
Visual Representation
The diagram below illustrates Simplify 1024/1240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 128/155 |
| Mixed Number Form | 128/155 |
| Decimal Form | 0.825806 |
| Percentage | 82.5806% |
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Frequently Asked Questions
What is 1024/1240 in simplest form?
1024/1240 simplified to lowest terms is 128/155.
What is the GCD (GCF) of 1024 and 1240?
The Greatest Common Divisor (GCD) of 1024 and 1240 is 8.
What are equivalent fractions to 1024/1240?
Equivalent fractions to 1024/1240 include 256/310, 384/465, and 512/620.