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GCF of 971/64, 109/975

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 971/64, 109/975 i.e 1/62400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 971/64, 109/975.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 971/64,109/975?

Given fractions are 971/64,109/975

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 971/64,109/975, numerators are 971,109

Denominators are 64,975

The GCF of 971,109 is 1 .

LCM of 64,975 is 62400.

The greatest common factor of 971/64,109/975 = [GCF of 971,109]/[LCM of 64,975]= 1/62400

Therefore, the GCF of 971/64,109/975 is 1/62400.

Greatest Common Factor of 971,109

To find the highest common factor of 971,109, we have to find the factors of both numbers and list the highest common factor.

The factors of 971 are 1, 971

The factors of 109 are 1, 109

The HCF of 971,109 is 1.

Lets's calculate GCF of 971,109

Greatest Common Factor (GCF) of 971,109 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 971,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,109 By Matching Biggest Common Factor Method

Now, list down the factors of 971

:

1,971

Now, list down the factors of 109

:

1,109

Greatest Common Factor

We found the factors 971,109 . The biggest common factor number is the GCF number.
So the greatest common factor 971,109 is 1.

Lets's calculate LCM of 64,975

Lowest Common Multiple of 64,975 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 62400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62400

Therefore, the GCF of Fractions 971/64,109/975 is 1/62400

Least Common Multiple of 64,975 with GCF Formula

Least Common Multiple of 64,975 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 64,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,975) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(64,975) x common factors =1 x 1 = 1

LCM(64,975) = ( 64 × 975 ) / 1

LCM(64,975) = 62400 / 1

LCM(64,975) = 62400


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FAQs on GCF of Fractions of 971/64, 109/975

1. What is the HCF of 971,109?

The HCF of 971,109 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 971/64, 109/975?

Answer: GCF of Numerators as per given numbers 971/64, 109/975 is

GCF of Numerators i.e. for 971,109 is 1

LCM of denominators i.e. for 64,975 is 62400.

Thus, GCF of Fractions is 1/62400.Finally, GCF of Fractions for 971/64, 109/975 is 1/62400.