GCF of 2657/988, 8448/6701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2657/988, 8448/6701 i.e 1/6620588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2657/988, 8448/6701.
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 2657/988,8448/6701?
Given fractions are 2657/988,8448/6701
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 2657/988,8448/6701, numerators are 2657,8448
Denominators are 988,6701
The GCF of 2657,8448 is 1 .
LCM of 988,6701 is 6620588.
The greatest common factor of 2657/988,8448/6701 = [GCF of 2657,8448]/[LCM of 988,6701]= 1/6620588
Therefore, the GCF of 2657/988,8448/6701 is 1/6620588.
To find the highest common factor of 2657,8448, we have to find the factors of both numbers and list the highest common factor.
The factors of 2657 are 1, 2657
The factors of 8448 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448
The HCF of 2657,8448 is 1.
Lets's calculate GCF of 2657,8448
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2657,8448 By Matching Biggest Common Factor Method
Now, list down the factors of 2657
:1,2657
Now, list down the factors of 8448
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448
Greatest Common Factor
We found the factors 2657,8448 . The biggest common factor number is the GCF number.
So the greatest common factor 2657,8448 is 1.
Lets's calculate LCM of 988,6701
Given numbers has no common factors except 1. So, there LCM is their product i.e 6620588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6620588
Therefore, the GCF of Fractions 2657/988,8448/6701 is 1/6620588
Least Common Multiple of 988,6701 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 988,6701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,6701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(988,6701) x common factors =1 x 1 = 1
LCM(988,6701) = ( 988 × 6701 ) / 1
LCM(988,6701) = 6620588 / 1
LCM(988,6701) = 6620588
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FAQs on GCF of Fractions of 2657/988, 8448/6701
1. What is the HCF of 2657,8448?
The HCF of 2657,8448 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 2657/988, 8448/6701?
Answer: GCF of Numerators as per given numbers 2657/988, 8448/6701 is
GCF of Numerators i.e. for 2657,8448 is 1
LCM of denominators i.e. for 988,6701 is 6620588.
Thus, GCF of Fractions is 1/6620588.Finally, GCF of Fractions for 2657/988, 8448/6701 is 1/6620588.