GCF of 5032/657, 5624/5315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5032/657, 5624/5315 i.e 296/3491955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5032/657, 5624/5315.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5032/657,5624/5315?
Given fractions are 5032/657,5624/5315
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5032/657,5624/5315, numerators are 5032,5624
Denominators are 657,5315
The GCF of 5032,5624 is 296 .
LCM of 657,5315 is 3491955.
The greatest common factor of 5032/657,5624/5315 = [GCF of 5032,5624]/[LCM of 657,5315]= 296/3491955
Therefore, the GCF of 5032/657,5624/5315 is 296/3491955.
To find the highest common factor of 5032,5624, we have to find the factors of both numbers and list the highest common factor.
The factors of 5032 are 1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032
The factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624
The HCF of 5032,5624 is 296.
Lets's calculate GCF of 5032,5624
| 2 | 5032, 5624 |
| 2 | 2516, 2812 |
| 2 | 1258, 1406 |
| 37 | 629, 703 |
| 17, 19 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 37 = 296
Greatest Common Factor of 5032,5624 By Matching Biggest Common Factor Method
Now, list down the factors of 5032
:1,2,4,8,17,34,37,68,74,136,148,296,629,1258,2516,5032
Now, list down the factors of 5624
:1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624
Greatest Common Factor
We found the factors 5032,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 5032,5624 is 296.
Lets's calculate LCM of 657,5315
Given numbers has no common factors except 1. So, there LCM is their product i.e 3491955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 296/3491955
Therefore, the GCF of Fractions 5032/657,5624/5315 is 296/3491955
Least Common Multiple of 657,5315 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 657,5315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,5315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,5315) x common factors =1 x 1 = 1
LCM(657,5315) = ( 657 × 5315 ) / 1
LCM(657,5315) = 3491955 / 1
LCM(657,5315) = 3491955
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FAQs on GCF of Fractions of 5032/657, 5624/5315
1. What is the HCF of 5032,5624?
The HCF of 5032,5624 is 296
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5032/657, 5624/5315?
Answer: GCF of Numerators as per given numbers 5032/657, 5624/5315 is
GCF of Numerators i.e. for 5032,5624 is 296
LCM of denominators i.e. for 657,5315 is 3491955.
Thus, GCF of Fractions is 296/3491955.Finally, GCF of Fractions for 5032/657, 5624/5315 is 296/3491955.