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GCF of 277/40, 731/454

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 277/40, 731/454 i.e 1/9080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 277/40, 731/454.

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 277/40,731/454?

Given fractions are 277/40,731/454

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 277/40,731/454, numerators are 277,731

Denominators are 40,454

The GCF of 277,731 is 1 .

LCM of 40,454 is 9080.

The greatest common factor of 277/40,731/454 = [GCF of 277,731]/[LCM of 40,454]= 1/9080

Therefore, the GCF of 277/40,731/454 is 1/9080.

Greatest Common Factor of 277,731

To find the highest common factor of 277,731, we have to find the factors of both numbers and list the highest common factor.

The factors of 277 are 1, 277

The factors of 731 are 1, 17, 43, 731

The HCF of 277,731 is 1.

Lets's calculate GCF of 277,731

Greatest Common Factor (GCF) of 277,731 By Common Division

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

Greatest Common Factor of 277,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,731 By Matching Biggest Common Factor Method

Now, list down the factors of 277

:

1,277

Now, list down the factors of 731

:

1,17,43,731

Greatest Common Factor

We found the factors 277,731 . The biggest common factor number is the GCF number.
So the greatest common factor 277,731 is 1.

Lets's calculate LCM of 40,454

Lowest Common Multiple of 40,454 using Common Division

2 40, 454
20, 227

∴ So the LCM of the given numbers is 2 x 20 x 227 = 9080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9080

Therefore, the GCF of Fractions 277/40,731/454 is 1/9080

Least Common Multiple of 40,454 with GCF Formula

Least Common Multiple of 40,454 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 40,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,454) = 2

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

GCF(40,454) x common factors =2 x 1 = 2

LCM(40,454) = ( 40 × 454 ) / 2

LCM(40,454) = 18160 / 2

LCM(40,454) = 9080


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FAQs on GCF of Fractions of 277/40, 731/454

1. What is the HCF of 277,731?

The HCF of 277,731 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 277/40, 731/454?

Answer: GCF of Numerators as per given numbers 277/40, 731/454 is

GCF of Numerators i.e. for 277,731 is 1

LCM of denominators i.e. for 40,454 is 9080.

Thus, GCF of Fractions is 1/9080.Finally, GCF of Fractions for 277/40, 731/454 is 1/9080.