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GCF of 377/156, 256/638

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 377/156, 256/638 i.e 1/49764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/156, 256/638.

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 377/156,256/638?

Given fractions are 377/156,256/638

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 377/156,256/638, numerators are 377,256

Denominators are 156,638

The GCF of 377,256 is 1 .

LCM of 156,638 is 49764.

The greatest common factor of 377/156,256/638 = [GCF of 377,256]/[LCM of 156,638]= 1/49764

Therefore, the GCF of 377/156,256/638 is 1/49764.

Greatest Common Factor of 377,256

To find the highest common factor of 377,256, we have to find the factors of both numbers and list the highest common factor.

The factors of 377 are 1, 13, 29, 377

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256

The HCF of 377,256 is 1.

Lets's calculate GCF of 377,256

Greatest Common Factor (GCF) of 377,256 By Common Division

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

Greatest Common Factor of 377,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,256 By Matching Biggest Common Factor Method

Now, list down the factors of 377

:

1,13,29,377

Now, list down the factors of 256

:

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 377,256 . The biggest common factor number is the GCF number.
So the greatest common factor 377,256 is 1.

Lets's calculate LCM of 156,638

Lowest Common Multiple of 156,638 using Common Division

2 156, 638
78, 319

∴ So the LCM of the given numbers is 2 x 78 x 319 = 49764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49764

Therefore, the GCF of Fractions 377/156,256/638 is 1/49764

Least Common Multiple of 156,638 with GCF Formula

Least Common Multiple of 156,638 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 156,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,638) = 2

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

GCF(156,638) x common factors =2 x 1 = 2

LCM(156,638) = ( 156 × 638 ) / 2

LCM(156,638) = 99528 / 2

LCM(156,638) = 49764


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FAQs on GCF of Fractions of 377/156, 256/638

1. What is the HCF of 377,256?

The HCF of 377,256 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 377/156, 256/638?

Answer: GCF of Numerators as per given numbers 377/156, 256/638 is

GCF of Numerators i.e. for 377,256 is 1

LCM of denominators i.e. for 156,638 is 49764.

Thus, GCF of Fractions is 1/49764.Finally, GCF of Fractions for 377/156, 256/638 is 1/49764.