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GCF of 2726/980, 5261/254

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 2726/980, 5261/254 i.e 1/124460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2726/980, 5261/254.

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 2726/980,5261/254?

Given fractions are 2726/980,5261/254

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 2726/980,5261/254, numerators are 2726,5261

Denominators are 980,254

The GCF of 2726,5261 is 1 .

LCM of 980,254 is 124460.

The greatest common factor of 2726/980,5261/254 = [GCF of 2726,5261]/[LCM of 980,254]= 1/124460

Therefore, the GCF of 2726/980,5261/254 is 1/124460.

Greatest Common Factor of 2726,5261

To find the highest common factor of 2726,5261, we have to find the factors of both numbers and list the highest common factor.

The factors of 2726 are 1, 2, 29, 47, 58, 94, 1363, 2726

The factors of 5261 are 1, 5261

The HCF of 2726,5261 is 1.

Lets's calculate GCF of 2726,5261

Greatest Common Factor (GCF) of 2726,5261 By Common Division

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

Greatest Common Factor of 2726,5261 By Matching Biggest Common Factor Method

Greatest Common Factor of 2726,5261 By Matching Biggest Common Factor Method

Now, list down the factors of 2726

:

1,2,29,47,58,94,1363,2726

Now, list down the factors of 5261

:

1,5261

Greatest Common Factor

We found the factors 2726,5261 . The biggest common factor number is the GCF number.
So the greatest common factor 2726,5261 is 1.

Lets's calculate LCM of 980,254

Lowest Common Multiple of 980,254 using Common Division

2 980, 254
490, 127

∴ So the LCM of the given numbers is 2 x 490 x 127 = 124460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124460

Therefore, the GCF of Fractions 2726/980,5261/254 is 1/124460

Least Common Multiple of 980,254 with GCF Formula

Least Common Multiple of 980,254 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 980,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,254) = 2

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

GCF(980,254) x common factors =2 x 1 = 2

LCM(980,254) = ( 980 × 254 ) / 2

LCM(980,254) = 248920 / 2

LCM(980,254) = 124460


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FAQs on GCF of Fractions of 2726/980, 5261/254

1. What is the HCF of 2726,5261?

The HCF of 2726,5261 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 2726/980, 5261/254?

Answer: GCF of Numerators as per given numbers 2726/980, 5261/254 is

GCF of Numerators i.e. for 2726,5261 is 1

LCM of denominators i.e. for 980,254 is 124460.

Thus, GCF of Fractions is 1/124460.Finally, GCF of Fractions for 2726/980, 5261/254 is 1/124460.