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GCF of 261/986, 7610/942

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 261/986, 7610/942 i.e 1/464406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 261/986, 7610/942.

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 261/986,7610/942?

Given fractions are 261/986,7610/942

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 261/986,7610/942, numerators are 261,7610

Denominators are 986,942

The GCF of 261,7610 is 1 .

LCM of 986,942 is 464406.

The greatest common factor of 261/986,7610/942 = [GCF of 261,7610]/[LCM of 986,942]= 1/464406

Therefore, the GCF of 261/986,7610/942 is 1/464406.

Greatest Common Factor of 261,7610

To find the highest common factor of 261,7610, we have to find the factors of both numbers and list the highest common factor.

The factors of 261 are 1, 3, 9, 29, 87, 261

The factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610

The HCF of 261,7610 is 1.

Lets's calculate GCF of 261,7610

Greatest Common Factor (GCF) of 261,7610 By Common Division

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

Greatest Common Factor of 261,7610 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,7610 By Matching Biggest Common Factor Method

Now, list down the factors of 261

:

1,3,9,29,87,261

Now, list down the factors of 7610

:

1,2,5,10,761,1522,3805,7610

Greatest Common Factor

We found the factors 261,7610 . The biggest common factor number is the GCF number.
So the greatest common factor 261,7610 is 1.

Lets's calculate LCM of 986,942

Lowest Common Multiple of 986,942 using Common Division

2 986, 942
493, 471

∴ So the LCM of the given numbers is 2 x 493 x 471 = 464406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464406

Therefore, the GCF of Fractions 261/986,7610/942 is 1/464406

Least Common Multiple of 986,942 with GCF Formula

Least Common Multiple of 986,942 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 986,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,942) = 2

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

GCF(986,942) x common factors =2 x 1 = 2

LCM(986,942) = ( 986 × 942 ) / 2

LCM(986,942) = 928812 / 2

LCM(986,942) = 464406


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FAQs on GCF of Fractions of 261/986, 7610/942

1. What is the HCF of 261,7610?

The HCF of 261,7610 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 261/986, 7610/942?

Answer: GCF of Numerators as per given numbers 261/986, 7610/942 is

GCF of Numerators i.e. for 261,7610 is 1

LCM of denominators i.e. for 986,942 is 464406.

Thus, GCF of Fractions is 1/464406.Finally, GCF of Fractions for 261/986, 7610/942 is 1/464406.