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GCF of 118/95, 379/376

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 118/95, 379/376 i.e 1/35720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/95, 379/376.

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 118/95,379/376?

Given fractions are 118/95,379/376

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 118/95,379/376, numerators are 118,379

Denominators are 95,376

The GCF of 118,379 is 1 .

LCM of 95,376 is 35720.

The greatest common factor of 118/95,379/376 = [GCF of 118,379]/[LCM of 95,376]= 1/35720

Therefore, the GCF of 118/95,379/376 is 1/35720.

Greatest Common Factor of 118,379

To find the highest common factor of 118,379, we have to find the factors of both numbers and list the highest common factor.

The factors of 118 are 1, 2, 59, 118

The factors of 379 are 1, 379

The HCF of 118,379 is 1.

Lets's calculate GCF of 118,379

Greatest Common Factor (GCF) of 118,379 By Common Division

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

Greatest Common Factor of 118,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,379 By Matching Biggest Common Factor Method

Now, list down the factors of 118

:

1,2,59,118

Now, list down the factors of 379

:

1,379

Greatest Common Factor

We found the factors 118,379 . The biggest common factor number is the GCF number.
So the greatest common factor 118,379 is 1.

Lets's calculate LCM of 95,376

Lowest Common Multiple of 95,376 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 35720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35720

Therefore, the GCF of Fractions 118/95,379/376 is 1/35720

Least Common Multiple of 95,376 with GCF Formula

Least Common Multiple of 95,376 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 95,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,376) = 1

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

GCF(95,376) x common factors =1 x 1 = 1

LCM(95,376) = ( 95 × 376 ) / 1

LCM(95,376) = 35720 / 1

LCM(95,376) = 35720


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FAQs on GCF of Fractions of 118/95, 379/376

1. What is the HCF of 118,379?

The HCF of 118,379 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 118/95, 379/376?

Answer: GCF of Numerators as per given numbers 118/95, 379/376 is

GCF of Numerators i.e. for 118,379 is 1

LCM of denominators i.e. for 95,376 is 35720.

Thus, GCF of Fractions is 1/35720.Finally, GCF of Fractions for 118/95, 379/376 is 1/35720.