GCF of 2131/857, 2425/4025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2131/857, 2425/4025 i.e 1/3449425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2131/857, 2425/4025.
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 2131/857,2425/4025?
Given fractions are 2131/857,2425/4025
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 2131/857,2425/4025, numerators are 2131,2425
Denominators are 857,4025
The GCF of 2131,2425 is 1 .
LCM of 857,4025 is 3449425.
The greatest common factor of 2131/857,2425/4025 = [GCF of 2131,2425]/[LCM of 857,4025]= 1/3449425
Therefore, the GCF of 2131/857,2425/4025 is 1/3449425.
To find the highest common factor of 2131,2425, we have to find the factors of both numbers and list the highest common factor.
The factors of 2131 are 1, 2131
The factors of 2425 are 1, 5, 25, 97, 485, 2425
The HCF of 2131,2425 is 1.
Lets's calculate GCF of 2131,2425
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2131,2425 By Matching Biggest Common Factor Method
Now, list down the factors of 2131
:1,2131
Now, list down the factors of 2425
:1,5,25,97,485,2425
Greatest Common Factor
We found the factors 2131,2425 . The biggest common factor number is the GCF number.
So the greatest common factor 2131,2425 is 1.
Lets's calculate LCM of 857,4025
Given numbers has no common factors except 1. So, there LCM is their product i.e 3449425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3449425
Therefore, the GCF of Fractions 2131/857,2425/4025 is 1/3449425
Least Common Multiple of 857,4025 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 857,4025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,4025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,4025) x common factors =1 x 1 = 1
LCM(857,4025) = ( 857 × 4025 ) / 1
LCM(857,4025) = 3449425 / 1
LCM(857,4025) = 3449425
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FAQs on GCF of Fractions of 2131/857, 2425/4025
1. What is the HCF of 2131,2425?
The HCF of 2131,2425 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 2131/857, 2425/4025?
Answer: GCF of Numerators as per given numbers 2131/857, 2425/4025 is
GCF of Numerators i.e. for 2131,2425 is 1
LCM of denominators i.e. for 857,4025 is 3449425.
Thus, GCF of Fractions is 1/3449425.Finally, GCF of Fractions for 2131/857, 2425/4025 is 1/3449425.