GCF of 7926/387, 7657/1373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7926/387, 7657/1373 i.e 1/531351 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7926/387, 7657/1373.
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 7926/387,7657/1373?
Given fractions are 7926/387,7657/1373
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 7926/387,7657/1373, numerators are 7926,7657
Denominators are 387,1373
The GCF of 7926,7657 is 1 .
LCM of 387,1373 is 531351.
The greatest common factor of 7926/387,7657/1373 = [GCF of 7926,7657]/[LCM of 387,1373]= 1/531351
Therefore, the GCF of 7926/387,7657/1373 is 1/531351.
To find the highest common factor of 7926,7657, we have to find the factors of both numbers and list the highest common factor.
The factors of 7926 are 1, 2, 3, 6, 1321, 2642, 3963, 7926
The factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657
The HCF of 7926,7657 is 1.
Lets's calculate GCF of 7926,7657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7926,7657 By Matching Biggest Common Factor Method
Now, list down the factors of 7926
:1,2,3,6,1321,2642,3963,7926
Now, list down the factors of 7657
:1,13,19,31,247,403,589,7657
Greatest Common Factor
We found the factors 7926,7657 . The biggest common factor number is the GCF number.
So the greatest common factor 7926,7657 is 1.
Lets's calculate LCM of 387,1373
Given numbers has no common factors except 1. So, there LCM is their product i.e 531351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/531351
Therefore, the GCF of Fractions 7926/387,7657/1373 is 1/531351
Least Common Multiple of 387,1373 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 387,1373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,1373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,1373) x common factors =1 x 1 = 1
LCM(387,1373) = ( 387 × 1373 ) / 1
LCM(387,1373) = 531351 / 1
LCM(387,1373) = 531351
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FAQs on GCF of Fractions of 7926/387, 7657/1373
1. What is the HCF of 7926,7657?
The HCF of 7926,7657 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 7926/387, 7657/1373?
Answer: GCF of Numerators as per given numbers 7926/387, 7657/1373 is
GCF of Numerators i.e. for 7926,7657 is 1
LCM of denominators i.e. for 387,1373 is 531351.
Thus, GCF of Fractions is 1/531351.Finally, GCF of Fractions for 7926/387, 7657/1373 is 1/531351.