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GCF of 961/977, 5521/640

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 961/977, 5521/640 i.e 1/625280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/977, 5521/640.

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 961/977,5521/640?

Given fractions are 961/977,5521/640

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 961/977,5521/640, numerators are 961,5521

Denominators are 977,640

The GCF of 961,5521 is 1 .

LCM of 977,640 is 625280.

The greatest common factor of 961/977,5521/640 = [GCF of 961,5521]/[LCM of 977,640]= 1/625280

Therefore, the GCF of 961/977,5521/640 is 1/625280.

Greatest Common Factor of 961,5521

To find the highest common factor of 961,5521, we have to find the factors of both numbers and list the highest common factor.

The factors of 961 are 1, 31, 961

The factors of 5521 are 1, 5521

The HCF of 961,5521 is 1.

Lets's calculate GCF of 961,5521

Greatest Common Factor (GCF) of 961,5521 By Common Division

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

Greatest Common Factor of 961,5521 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,5521 By Matching Biggest Common Factor Method

Now, list down the factors of 961

:

1,31,961

Now, list down the factors of 5521

:

1,5521

Greatest Common Factor

We found the factors 961,5521 . The biggest common factor number is the GCF number.
So the greatest common factor 961,5521 is 1.

Lets's calculate LCM of 977,640

Lowest Common Multiple of 977,640 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 625280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/625280

Therefore, the GCF of Fractions 961/977,5521/640 is 1/625280

Least Common Multiple of 977,640 with GCF Formula

Least Common Multiple of 977,640 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 977,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,640) = 1

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

GCF(977,640) x common factors =1 x 1 = 1

LCM(977,640) = ( 977 × 640 ) / 1

LCM(977,640) = 625280 / 1

LCM(977,640) = 625280


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FAQs on GCF of Fractions of 961/977, 5521/640

1. What is the HCF of 961,5521?

The HCF of 961,5521 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 961/977, 5521/640?

Answer: GCF of Numerators as per given numbers 961/977, 5521/640 is

GCF of Numerators i.e. for 961,5521 is 1

LCM of denominators i.e. for 977,640 is 625280.

Thus, GCF of Fractions is 1/625280.Finally, GCF of Fractions for 961/977, 5521/640 is 1/625280.