GCF of 9657/114, 9278/2557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9657/114, 9278/2557 i.e 1/291498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9657/114, 9278/2557.
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 9657/114,9278/2557?
Given fractions are 9657/114,9278/2557
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 9657/114,9278/2557, numerators are 9657,9278
Denominators are 114,2557
The GCF of 9657,9278 is 1 .
LCM of 114,2557 is 291498.
The greatest common factor of 9657/114,9278/2557 = [GCF of 9657,9278]/[LCM of 114,2557]= 1/291498
Therefore, the GCF of 9657/114,9278/2557 is 1/291498.
To find the highest common factor of 9657,9278, we have to find the factors of both numbers and list the highest common factor.
The factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657
The factors of 9278 are 1, 2, 4639, 9278
The HCF of 9657,9278 is 1.
Lets's calculate GCF of 9657,9278
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9657,9278 By Matching Biggest Common Factor Method
Now, list down the factors of 9657
:1,3,9,29,37,87,111,261,333,1073,3219,9657
Now, list down the factors of 9278
:1,2,4639,9278
Greatest Common Factor
We found the factors 9657,9278 . The biggest common factor number is the GCF number.
So the greatest common factor 9657,9278 is 1.
Lets's calculate LCM of 114,2557
Given numbers has no common factors except 1. So, there LCM is their product i.e 291498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291498
Therefore, the GCF of Fractions 9657/114,9278/2557 is 1/291498
Least Common Multiple of 114,2557 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 114,2557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,2557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(114,2557) x common factors =1 x 1 = 1
LCM(114,2557) = ( 114 × 2557 ) / 1
LCM(114,2557) = 291498 / 1
LCM(114,2557) = 291498
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FAQs on GCF of Fractions of 9657/114, 9278/2557
1. What is the HCF of 9657,9278?
The HCF of 9657,9278 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 9657/114, 9278/2557?
Answer: GCF of Numerators as per given numbers 9657/114, 9278/2557 is
GCF of Numerators i.e. for 9657,9278 is 1
LCM of denominators i.e. for 114,2557 is 291498.
Thus, GCF of Fractions is 1/291498.Finally, GCF of Fractions for 9657/114, 9278/2557 is 1/291498.