GCF of 25/71, 11/12, 965/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/71, 11/12, 965/457 i.e 1/389364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/71, 11/12, 965/457.
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 25/71,11/12,965/457?
Given fractions are 25/71,11/12,965/457
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 25/71,11/12,965/457, numerators are 25,11,965
Denominators are 71,12,457
The GCF of 25,11,965 is 1 .
LCM of 71,12,457 is 389364.
The greatest common factor of 25/71,11/12,965/457 = [GCF of 25,11,965]/[LCM of 71,12,457]= 1/389364
Therefore, the GCF of 25/71,11/12,965/457 is 1/389364.
To find the highest common factor of 25,11,965, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 11 are 1, 11
The factors of 965 are 1, 5, 193, 965
The HCF of 25,11,965 is 1.
Lets's calculate GCF of 25,11,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 25,11,965 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 11
:1,11
Now, list down the factors of 965
:1,5,193,965
Greatest Common Factor
We found the factors 25,11,965 . The biggest common factor number is the GCF number.
So the greatest common factor 25,11,965 is 1.
Lets's calculate LCM of 71,12,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 389364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389364
Therefore, the GCF of Fractions 25/71,11/12,965/457 is 1/389364
Least Common Multiple of 71,12,457 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 71,12,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,12,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,12,457) x common factors =1 x 1 = 1
LCM(71,12,457) = ( 71 × 12 × 457 ) / 1
LCM(71,12,457) = 389364 / 1
LCM(71,12,457) = 389364
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FAQs on GCF of Fractions of 25/71, 11/12, 965/457
1. What is the HCF of 25,11,965?
The HCF of 25,11,965 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 25/71, 11/12, 965/457?
Answer: GCF of Numerators as per given numbers 25/71, 11/12, 965/457 is
GCF of Numerators i.e. for 25,11,965 is 1
LCM of denominators i.e. for 71,12,457 is 389364.
Thus, GCF of Fractions is 1/389364.Finally, GCF of Fractions for 25/71, 11/12, 965/457 is 1/389364.