GCF of 8641/907, 5157/7874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8641/907, 5157/7874 i.e 1/7141718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8641/907, 5157/7874.
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 8641/907,5157/7874?
Given fractions are 8641/907,5157/7874
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 8641/907,5157/7874, numerators are 8641,5157
Denominators are 907,7874
The GCF of 8641,5157 is 1 .
LCM of 907,7874 is 7141718.
The greatest common factor of 8641/907,5157/7874 = [GCF of 8641,5157]/[LCM of 907,7874]= 1/7141718
Therefore, the GCF of 8641/907,5157/7874 is 1/7141718.
To find the highest common factor of 8641,5157, we have to find the factors of both numbers and list the highest common factor.
The factors of 8641 are 1, 8641
The factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157
The HCF of 8641,5157 is 1.
Lets's calculate GCF of 8641,5157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8641,5157 By Matching Biggest Common Factor Method
Now, list down the factors of 8641
:1,8641
Now, list down the factors of 5157
:1,3,9,27,191,573,1719,5157
Greatest Common Factor
We found the factors 8641,5157 . The biggest common factor number is the GCF number.
So the greatest common factor 8641,5157 is 1.
Lets's calculate LCM of 907,7874
Given numbers has no common factors except 1. So, there LCM is their product i.e 7141718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7141718
Therefore, the GCF of Fractions 8641/907,5157/7874 is 1/7141718
Least Common Multiple of 907,7874 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 907,7874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,7874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,7874) x common factors =1 x 1 = 1
LCM(907,7874) = ( 907 × 7874 ) / 1
LCM(907,7874) = 7141718 / 1
LCM(907,7874) = 7141718
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FAQs on GCF of Fractions of 8641/907, 5157/7874
1. What is the HCF of 8641,5157?
The HCF of 8641,5157 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 8641/907, 5157/7874?
Answer: GCF of Numerators as per given numbers 8641/907, 5157/7874 is
GCF of Numerators i.e. for 8641,5157 is 1
LCM of denominators i.e. for 907,7874 is 7141718.
Thus, GCF of Fractions is 1/7141718.Finally, GCF of Fractions for 8641/907, 5157/7874 is 1/7141718.