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GCF of 9746/391, 2141/172

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 9746/391, 2141/172 i.e 1/67252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9746/391, 2141/172.

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 9746/391,2141/172?

Given fractions are 9746/391,2141/172

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 9746/391,2141/172, numerators are 9746,2141

Denominators are 391,172

The GCF of 9746,2141 is 1 .

LCM of 391,172 is 67252.

The greatest common factor of 9746/391,2141/172 = [GCF of 9746,2141]/[LCM of 391,172]= 1/67252

Therefore, the GCF of 9746/391,2141/172 is 1/67252.

Greatest Common Factor of 9746,2141

To find the highest common factor of 9746,2141, we have to find the factors of both numbers and list the highest common factor.

The factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746

The factors of 2141 are 1, 2141

The HCF of 9746,2141 is 1.

Lets's calculate GCF of 9746,2141

Greatest Common Factor (GCF) of 9746,2141 By Common Division

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

Greatest Common Factor of 9746,2141 By Matching Biggest Common Factor Method

Greatest Common Factor of 9746,2141 By Matching Biggest Common Factor Method

Now, list down the factors of 9746

:

1,2,11,22,443,886,4873,9746

Now, list down the factors of 2141

:

1,2141

Greatest Common Factor

We found the factors 9746,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 9746,2141 is 1.

Lets's calculate LCM of 391,172

Lowest Common Multiple of 391,172 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 67252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67252

Therefore, the GCF of Fractions 9746/391,2141/172 is 1/67252

Least Common Multiple of 391,172 with GCF Formula

Least Common Multiple of 391,172 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 391,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,172) = 1

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

GCF(391,172) x common factors =1 x 1 = 1

LCM(391,172) = ( 391 × 172 ) / 1

LCM(391,172) = 67252 / 1

LCM(391,172) = 67252


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FAQs on GCF of Fractions of 9746/391, 2141/172

1. What is the HCF of 9746,2141?

The HCF of 9746,2141 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 9746/391, 2141/172?

Answer: GCF of Numerators as per given numbers 9746/391, 2141/172 is

GCF of Numerators i.e. for 9746,2141 is 1

LCM of denominators i.e. for 391,172 is 67252.

Thus, GCF of Fractions is 1/67252.Finally, GCF of Fractions for 9746/391, 2141/172 is 1/67252.