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GCF of 121/279, 241/271

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 121/279, 241/271 i.e 1/75609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/279, 241/271.

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 121/279,241/271?

Given fractions are 121/279,241/271

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 121/279,241/271, numerators are 121,241

Denominators are 279,271

The GCF of 121,241 is 1 .

LCM of 279,271 is 75609.

The greatest common factor of 121/279,241/271 = [GCF of 121,241]/[LCM of 279,271]= 1/75609

Therefore, the GCF of 121/279,241/271 is 1/75609.

Greatest Common Factor of 121,241

To find the highest common factor of 121,241, we have to find the factors of both numbers and list the highest common factor.

The factors of 121 are 1, 11, 121

The factors of 241 are 1, 241

The HCF of 121,241 is 1.

Lets's calculate GCF of 121,241

Greatest Common Factor (GCF) of 121,241 By Common Division

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

Greatest Common Factor of 121,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,241 By Matching Biggest Common Factor Method

Now, list down the factors of 121

:

1,11,121

Now, list down the factors of 241

:

1,241

Greatest Common Factor

We found the factors 121,241 . The biggest common factor number is the GCF number.
So the greatest common factor 121,241 is 1.

Lets's calculate LCM of 279,271

Lowest Common Multiple of 279,271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 75609

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75609

Therefore, the GCF of Fractions 121/279,241/271 is 1/75609

Least Common Multiple of 279,271 with GCF Formula

Least Common Multiple of 279,271 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 279,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,271) = 1

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

GCF(279,271) x common factors =1 x 1 = 1

LCM(279,271) = ( 279 × 271 ) / 1

LCM(279,271) = 75609 / 1

LCM(279,271) = 75609


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FAQs on GCF of Fractions of 121/279, 241/271

1. What is the HCF of 121,241?

The HCF of 121,241 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 121/279, 241/271?

Answer: GCF of Numerators as per given numbers 121/279, 241/271 is

GCF of Numerators i.e. for 121,241 is 1

LCM of denominators i.e. for 279,271 is 75609.

Thus, GCF of Fractions is 1/75609.Finally, GCF of Fractions for 121/279, 241/271 is 1/75609.