GCF of 8372/976, 4641/872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8372/976, 4641/872 i.e 91/106384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8372/976, 4641/872.
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 8372/976,4641/872?
Given fractions are 8372/976,4641/872
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 8372/976,4641/872, numerators are 8372,4641
Denominators are 976,872
The GCF of 8372,4641 is 91 .
LCM of 976,872 is 106384.
The greatest common factor of 8372/976,4641/872 = [GCF of 8372,4641]/[LCM of 976,872]= 91/106384
Therefore, the GCF of 8372/976,4641/872 is 91/106384.
To find the highest common factor of 8372,4641, we have to find the factors of both numbers and list the highest common factor.
The factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372
The factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641
The HCF of 8372,4641 is 91.
Lets's calculate GCF of 8372,4641
| 7 | 8372, 4641 |
| 13 | 1196, 663 |
| 92, 51 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Greatest Common Factor of 8372,4641 By Matching Biggest Common Factor Method
Now, list down the factors of 8372
:1,2,4,7,13,14,23,26,28,46,52,91,92,161,182,299,322,364,598,644,1196,2093,4186,8372
Now, list down the factors of 4641
:1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641
Greatest Common Factor
We found the factors 8372,4641 . The biggest common factor number is the GCF number.
So the greatest common factor 8372,4641 is 91.
Lets's calculate LCM of 976,872
| 2 | 976, 872 |
| 2 | 488, 436 |
| 2 | 244, 218 |
| 122, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 109 = 106384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/106384
Therefore, the GCF of Fractions 8372/976,4641/872 is 91/106384
Least Common Multiple of 976,872 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 976,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,872) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(976,872) x common factors =8 x 1 = 8
LCM(976,872) = ( 976 × 872 ) / 8
LCM(976,872) = 851072 / 8
LCM(976,872) = 106384
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FAQs on GCF of Fractions of 8372/976, 4641/872
1. What is the HCF of 8372,4641?
The HCF of 8372,4641 is 91
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 8372/976, 4641/872?
Answer: GCF of Numerators as per given numbers 8372/976, 4641/872 is
GCF of Numerators i.e. for 8372,4641 is 91
LCM of denominators i.e. for 976,872 is 106384.
Thus, GCF of Fractions is 91/106384.Finally, GCF of Fractions for 8372/976, 4641/872 is 91/106384.