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GCF of 254/761, 2780/759

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 254/761, 2780/759 i.e 2/577599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/761, 2780/759.

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 254/761,2780/759?

Given fractions are 254/761,2780/759

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 254/761,2780/759, numerators are 254,2780

Denominators are 761,759

The GCF of 254,2780 is 2 .

LCM of 761,759 is 577599.

The greatest common factor of 254/761,2780/759 = [GCF of 254,2780]/[LCM of 761,759]= 2/577599

Therefore, the GCF of 254/761,2780/759 is 2/577599.

Greatest Common Factor of 254,2780

To find the highest common factor of 254,2780, we have to find the factors of both numbers and list the highest common factor.

The factors of 254 are 1, 2, 127, 254

The factors of 2780 are 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780

The HCF of 254,2780 is 2.

Lets's calculate GCF of 254,2780

Greatest Common Factor (GCF) of 254,2780 By Common Division

2 254, 2780
127, 1390

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 254,2780 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,2780 By Matching Biggest Common Factor Method

Now, list down the factors of 254

:

1,2,127,254

Now, list down the factors of 2780

:

1,2,4,5,10,20,139,278,556,695,1390,2780

Greatest Common Factor

We found the factors 254,2780 . The biggest common factor number is the GCF number.
So the greatest common factor 254,2780 is 2.

Lets's calculate LCM of 761,759

Lowest Common Multiple of 761,759 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 577599

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/577599

Therefore, the GCF of Fractions 254/761,2780/759 is 2/577599

Least Common Multiple of 761,759 with GCF Formula

Least Common Multiple of 761,759 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 761,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,759) = 1

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

GCF(761,759) x common factors =1 x 1 = 1

LCM(761,759) = ( 761 × 759 ) / 1

LCM(761,759) = 577599 / 1

LCM(761,759) = 577599


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FAQs on GCF of Fractions of 254/761, 2780/759

1. What is the HCF of 254,2780?

The HCF of 254,2780 is 2

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 254/761, 2780/759?

Answer: GCF of Numerators as per given numbers 254/761, 2780/759 is

GCF of Numerators i.e. for 254,2780 is 2

LCM of denominators i.e. for 761,759 is 577599.

Thus, GCF of Fractions is 2/577599.Finally, GCF of Fractions for 254/761, 2780/759 is 2/577599.