GCF of 8362/852, 7748/4357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8362/852, 7748/4357 i.e 2/3712164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8362/852, 7748/4357.
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 8362/852,7748/4357?
Given fractions are 8362/852,7748/4357
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 8362/852,7748/4357, numerators are 8362,7748
Denominators are 852,4357
The GCF of 8362,7748 is 2 .
LCM of 852,4357 is 3712164.
The greatest common factor of 8362/852,7748/4357 = [GCF of 8362,7748]/[LCM of 852,4357]= 2/3712164
Therefore, the GCF of 8362/852,7748/4357 is 2/3712164.
To find the highest common factor of 8362,7748, we have to find the factors of both numbers and list the highest common factor.
The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362
The factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748
The HCF of 8362,7748 is 2.
Lets's calculate GCF of 8362,7748
| 2 | 8362, 7748 |
| 4181, 3874 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8362,7748 By Matching Biggest Common Factor Method
Now, list down the factors of 8362
:1,2,37,74,113,226,4181,8362
Now, list down the factors of 7748
:1,2,4,13,26,52,149,298,596,1937,3874,7748
Greatest Common Factor
We found the factors 8362,7748 . The biggest common factor number is the GCF number.
So the greatest common factor 8362,7748 is 2.
Lets's calculate LCM of 852,4357
Given numbers has no common factors except 1. So, there LCM is their product i.e 3712164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3712164
Therefore, the GCF of Fractions 8362/852,7748/4357 is 2/3712164
Least Common Multiple of 852,4357 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 852,4357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,4357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(852,4357) x common factors =1 x 1 = 1
LCM(852,4357) = ( 852 × 4357 ) / 1
LCM(852,4357) = 3712164 / 1
LCM(852,4357) = 3712164
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FAQs on GCF of Fractions of 8362/852, 7748/4357
1. What is the HCF of 8362,7748?
The HCF of 8362,7748 is 2
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 8362/852, 7748/4357?
Answer: GCF of Numerators as per given numbers 8362/852, 7748/4357 is
GCF of Numerators i.e. for 8362,7748 is 2
LCM of denominators i.e. for 852,4357 is 3712164.
Thus, GCF of Fractions is 2/3712164.Finally, GCF of Fractions for 8362/852, 7748/4357 is 2/3712164.