GCF of 5232/430, 7581/8942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5232/430, 7581/8942 i.e 3/1922530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5232/430, 7581/8942.
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 5232/430,7581/8942?
Given fractions are 5232/430,7581/8942
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 5232/430,7581/8942, numerators are 5232,7581
Denominators are 430,8942
The GCF of 5232,7581 is 3 .
LCM of 430,8942 is 1922530.
The greatest common factor of 5232/430,7581/8942 = [GCF of 5232,7581]/[LCM of 430,8942]= 3/1922530
Therefore, the GCF of 5232/430,7581/8942 is 3/1922530.
To find the highest common factor of 5232,7581, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7581 are 1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581
The HCF of 5232,7581 is 3.
Lets's calculate GCF of 5232,7581
| 3 | 5232, 7581 |
| 1744, 2527 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5232,7581 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7581
:1,3,7,19,21,57,133,361,399,1083,2527,7581
Greatest Common Factor
We found the factors 5232,7581 . The biggest common factor number is the GCF number.
So the greatest common factor 5232,7581 is 3.
Lets's calculate LCM of 430,8942
| 2 | 430, 8942 |
| 215, 4471 |
∴ So the LCM of the given numbers is 2 x 215 x 4471 = 1922530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1922530
Therefore, the GCF of Fractions 5232/430,7581/8942 is 3/1922530
Least Common Multiple of 430,8942 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 430,8942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,8942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,8942) x common factors =2 x 1 = 2
LCM(430,8942) = ( 430 × 8942 ) / 2
LCM(430,8942) = 3845060 / 2
LCM(430,8942) = 1922530
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FAQs on GCF of Fractions of 5232/430, 7581/8942
1. What is the HCF of 5232,7581?
The HCF of 5232,7581 is 3
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 5232/430, 7581/8942?
Answer: GCF of Numerators as per given numbers 5232/430, 7581/8942 is
GCF of Numerators i.e. for 5232,7581 is 3
LCM of denominators i.e. for 430,8942 is 1922530.
Thus, GCF of Fractions is 3/1922530.Finally, GCF of Fractions for 5232/430, 7581/8942 is 3/1922530.