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GCF of 4991/376, 4871/404

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 4991/376, 4871/404 i.e 1/37976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4991/376, 4871/404.

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 4991/376,4871/404?

Given fractions are 4991/376,4871/404

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 4991/376,4871/404, numerators are 4991,4871

Denominators are 376,404

The GCF of 4991,4871 is 1 .

LCM of 376,404 is 37976.

The greatest common factor of 4991/376,4871/404 = [GCF of 4991,4871]/[LCM of 376,404]= 1/37976

Therefore, the GCF of 4991/376,4871/404 is 1/37976.

Greatest Common Factor of 4991,4871

To find the highest common factor of 4991,4871, we have to find the factors of both numbers and list the highest common factor.

The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991

The factors of 4871 are 1, 4871

The HCF of 4991,4871 is 1.

Lets's calculate GCF of 4991,4871

Greatest Common Factor (GCF) of 4991,4871 By Common Division

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

Greatest Common Factor of 4991,4871 By Matching Biggest Common Factor Method

Greatest Common Factor of 4991,4871 By Matching Biggest Common Factor Method

Now, list down the factors of 4991

:

1,7,23,31,161,217,713,4991

Now, list down the factors of 4871

:

1,4871

Greatest Common Factor

We found the factors 4991,4871 . The biggest common factor number is the GCF number.
So the greatest common factor 4991,4871 is 1.

Lets's calculate LCM of 376,404

Lowest Common Multiple of 376,404 using Common Division

2 376, 404
2 188, 202
94, 101

∴ So the LCM of the given numbers is 2 x 2 x 94 x 101 = 37976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37976

Therefore, the GCF of Fractions 4991/376,4871/404 is 1/37976

Least Common Multiple of 376,404 with GCF Formula

Least Common Multiple of 376,404 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 376,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,404) = 4

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

GCF(376,404) x common factors =4 x 1 = 4

LCM(376,404) = ( 376 × 404 ) / 4

LCM(376,404) = 151904 / 4

LCM(376,404) = 37976


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FAQs on GCF of Fractions of 4991/376, 4871/404

1. What is the HCF of 4991,4871?

The HCF of 4991,4871 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 4991/376, 4871/404?

Answer: GCF of Numerators as per given numbers 4991/376, 4871/404 is

GCF of Numerators i.e. for 4991,4871 is 1

LCM of denominators i.e. for 376,404 is 37976.

Thus, GCF of Fractions is 1/37976.Finally, GCF of Fractions for 4991/376, 4871/404 is 1/37976.