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GCF of 6761/281, 9868/313

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 6761/281, 9868/313 i.e 1/87953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6761/281, 9868/313.

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 6761/281,9868/313?

Given fractions are 6761/281,9868/313

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 6761/281,9868/313, numerators are 6761,9868

Denominators are 281,313

The GCF of 6761,9868 is 1 .

LCM of 281,313 is 87953.

The greatest common factor of 6761/281,9868/313 = [GCF of 6761,9868]/[LCM of 281,313]= 1/87953

Therefore, the GCF of 6761/281,9868/313 is 1/87953.

Greatest Common Factor of 6761,9868

To find the highest common factor of 6761,9868, we have to find the factors of both numbers and list the highest common factor.

The factors of 6761 are 1, 6761

The factors of 9868 are 1, 2, 4, 2467, 4934, 9868

The HCF of 6761,9868 is 1.

Lets's calculate GCF of 6761,9868

Greatest Common Factor (GCF) of 6761,9868 By Common Division

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

Greatest Common Factor of 6761,9868 By Matching Biggest Common Factor Method

Greatest Common Factor of 6761,9868 By Matching Biggest Common Factor Method

Now, list down the factors of 6761

:

1,6761

Now, list down the factors of 9868

:

1,2,4,2467,4934,9868

Greatest Common Factor

We found the factors 6761,9868 . The biggest common factor number is the GCF number.
So the greatest common factor 6761,9868 is 1.

Lets's calculate LCM of 281,313

Lowest Common Multiple of 281,313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 87953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87953

Therefore, the GCF of Fractions 6761/281,9868/313 is 1/87953

Least Common Multiple of 281,313 with GCF Formula

Least Common Multiple of 281,313 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 281,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,313) = 1

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

GCF(281,313) x common factors =1 x 1 = 1

LCM(281,313) = ( 281 × 313 ) / 1

LCM(281,313) = 87953 / 1

LCM(281,313) = 87953


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FAQs on GCF of Fractions of 6761/281, 9868/313

1. What is the HCF of 6761,9868?

The HCF of 6761,9868 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 6761/281, 9868/313?

Answer: GCF of Numerators as per given numbers 6761/281, 9868/313 is

GCF of Numerators i.e. for 6761,9868 is 1

LCM of denominators i.e. for 281,313 is 87953.

Thus, GCF of Fractions is 1/87953.Finally, GCF of Fractions for 6761/281, 9868/313 is 1/87953.