GCF of 8927/256, 6374/3913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8927/256, 6374/3913 i.e 1/1001728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8927/256, 6374/3913.
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 8927/256,6374/3913?
Given fractions are 8927/256,6374/3913
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 8927/256,6374/3913, numerators are 8927,6374
Denominators are 256,3913
The GCF of 8927,6374 is 1 .
LCM of 256,3913 is 1001728.
The greatest common factor of 8927/256,6374/3913 = [GCF of 8927,6374]/[LCM of 256,3913]= 1/1001728
Therefore, the GCF of 8927/256,6374/3913 is 1/1001728.
To find the highest common factor of 8927,6374, we have to find the factors of both numbers and list the highest common factor.
The factors of 8927 are 1, 79, 113, 8927
The factors of 6374 are 1, 2, 3187, 6374
The HCF of 8927,6374 is 1.
Lets's calculate GCF of 8927,6374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8927,6374 By Matching Biggest Common Factor Method
Now, list down the factors of 8927
:1,79,113,8927
Now, list down the factors of 6374
:1,2,3187,6374
Greatest Common Factor
We found the factors 8927,6374 . The biggest common factor number is the GCF number.
So the greatest common factor 8927,6374 is 1.
Lets's calculate LCM of 256,3913
Given numbers has no common factors except 1. So, there LCM is their product i.e 1001728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1001728
Therefore, the GCF of Fractions 8927/256,6374/3913 is 1/1001728
Least Common Multiple of 256,3913 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 256,3913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,3913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,3913) x common factors =1 x 1 = 1
LCM(256,3913) = ( 256 × 3913 ) / 1
LCM(256,3913) = 1001728 / 1
LCM(256,3913) = 1001728
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FAQs on GCF of Fractions of 8927/256, 6374/3913
1. What is the HCF of 8927,6374?
The HCF of 8927,6374 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 8927/256, 6374/3913?
Answer: GCF of Numerators as per given numbers 8927/256, 6374/3913 is
GCF of Numerators i.e. for 8927,6374 is 1
LCM of denominators i.e. for 256,3913 is 1001728.
Thus, GCF of Fractions is 1/1001728.Finally, GCF of Fractions for 8927/256, 6374/3913 is 1/1001728.