GCF of 7312/478, 5232/2528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7312/478, 5232/2528 i.e 16/604192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7312/478, 5232/2528.
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 7312/478,5232/2528?
Given fractions are 7312/478,5232/2528
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 7312/478,5232/2528, numerators are 7312,5232
Denominators are 478,2528
The GCF of 7312,5232 is 16 .
LCM of 478,2528 is 604192.
The greatest common factor of 7312/478,5232/2528 = [GCF of 7312,5232]/[LCM of 478,2528]= 16/604192
Therefore, the GCF of 7312/478,5232/2528 is 16/604192.
To find the highest common factor of 7312,5232, we have to find the factors of both numbers and list the highest common factor.
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232
The HCF of 7312,5232 is 16.
Lets's calculate GCF of 7312,5232
| 2 | 7312, 5232 |
| 2 | 3656, 2616 |
| 2 | 1828, 1308 |
| 2 | 914, 654 |
| 457, 327 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7312,5232 By Matching Biggest Common Factor Method
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Now, list down the factors of 5232
:1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
Greatest Common Factor
We found the factors 7312,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 7312,5232 is 16.
Lets's calculate LCM of 478,2528
| 2 | 478, 2528 |
| 239, 1264 |
∴ So the LCM of the given numbers is 2 x 239 x 1264 = 604192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/604192
Therefore, the GCF of Fractions 7312/478,5232/2528 is 16/604192
Least Common Multiple of 478,2528 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 478,2528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,2528) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,2528) x common factors =2 x 1 = 2
LCM(478,2528) = ( 478 × 2528 ) / 2
LCM(478,2528) = 1208384 / 2
LCM(478,2528) = 604192
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FAQs on GCF of Fractions of 7312/478, 5232/2528
1. What is the HCF of 7312,5232?
The HCF of 7312,5232 is 16
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 7312/478, 5232/2528?
Answer: GCF of Numerators as per given numbers 7312/478, 5232/2528 is
GCF of Numerators i.e. for 7312,5232 is 16
LCM of denominators i.e. for 478,2528 is 604192.
Thus, GCF of Fractions is 16/604192.Finally, GCF of Fractions for 7312/478, 5232/2528 is 16/604192.