GCF of 6831/758, 7652/8764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6831/758, 7652/8764 i.e 1/3321556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6831/758, 7652/8764.
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 6831/758,7652/8764?
Given fractions are 6831/758,7652/8764
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 6831/758,7652/8764, numerators are 6831,7652
Denominators are 758,8764
The GCF of 6831,7652 is 1 .
LCM of 758,8764 is 3321556.
The greatest common factor of 6831/758,7652/8764 = [GCF of 6831,7652]/[LCM of 758,8764]= 1/3321556
Therefore, the GCF of 6831/758,7652/8764 is 1/3321556.
To find the highest common factor of 6831,7652, we have to find the factors of both numbers and list the highest common factor.
The factors of 6831 are 1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831
The factors of 7652 are 1, 2, 4, 1913, 3826, 7652
The HCF of 6831,7652 is 1.
Lets's calculate GCF of 6831,7652
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6831,7652 By Matching Biggest Common Factor Method
Now, list down the factors of 6831
:1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831
Now, list down the factors of 7652
:1,2,4,1913,3826,7652
Greatest Common Factor
We found the factors 6831,7652 . The biggest common factor number is the GCF number.
So the greatest common factor 6831,7652 is 1.
Lets's calculate LCM of 758,8764
| 2 | 758, 8764 |
| 379, 4382 |
∴ So the LCM of the given numbers is 2 x 379 x 4382 = 3321556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3321556
Therefore, the GCF of Fractions 6831/758,7652/8764 is 1/3321556
Least Common Multiple of 758,8764 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 758,8764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,8764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,8764) x common factors =2 x 1 = 2
LCM(758,8764) = ( 758 × 8764 ) / 2
LCM(758,8764) = 6643112 / 2
LCM(758,8764) = 3321556
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FAQs on GCF of Fractions of 6831/758, 7652/8764
1. What is the HCF of 6831,7652?
The HCF of 6831,7652 is 1
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 6831/758, 7652/8764?
Answer: GCF of Numerators as per given numbers 6831/758, 7652/8764 is
GCF of Numerators i.e. for 6831,7652 is 1
LCM of denominators i.e. for 758,8764 is 3321556.
Thus, GCF of Fractions is 1/3321556.Finally, GCF of Fractions for 6831/758, 7652/8764 is 1/3321556.