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GCF of 5981/426, 3359/974

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 5981/426, 3359/974 i.e 1/207462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5981/426, 3359/974.

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 5981/426,3359/974?

Given fractions are 5981/426,3359/974

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 5981/426,3359/974, numerators are 5981,3359

Denominators are 426,974

The GCF of 5981,3359 is 1 .

LCM of 426,974 is 207462.

The greatest common factor of 5981/426,3359/974 = [GCF of 5981,3359]/[LCM of 426,974]= 1/207462

Therefore, the GCF of 5981/426,3359/974 is 1/207462.

Greatest Common Factor of 5981,3359

To find the highest common factor of 5981,3359, we have to find the factors of both numbers and list the highest common factor.

The factors of 5981 are 1, 5981

The factors of 3359 are 1, 3359

The HCF of 5981,3359 is 1.

Lets's calculate GCF of 5981,3359

Greatest Common Factor (GCF) of 5981,3359 By Common Division

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

Greatest Common Factor of 5981,3359 By Matching Biggest Common Factor Method

Greatest Common Factor of 5981,3359 By Matching Biggest Common Factor Method

Now, list down the factors of 5981

:

1,5981

Now, list down the factors of 3359

:

1,3359

Greatest Common Factor

We found the factors 5981,3359 . The biggest common factor number is the GCF number.
So the greatest common factor 5981,3359 is 1.

Lets's calculate LCM of 426,974

Lowest Common Multiple of 426,974 using Common Division

2 426, 974
213, 487

∴ So the LCM of the given numbers is 2 x 213 x 487 = 207462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207462

Therefore, the GCF of Fractions 5981/426,3359/974 is 1/207462

Least Common Multiple of 426,974 with GCF Formula

Least Common Multiple of 426,974 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 426,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,974) = 2

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

GCF(426,974) x common factors =2 x 1 = 2

LCM(426,974) = ( 426 × 974 ) / 2

LCM(426,974) = 414924 / 2

LCM(426,974) = 207462


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FAQs on GCF of Fractions of 5981/426, 3359/974

1. What is the HCF of 5981,3359?

The HCF of 5981,3359 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 5981/426, 3359/974?

Answer: GCF of Numerators as per given numbers 5981/426, 3359/974 is

GCF of Numerators i.e. for 5981,3359 is 1

LCM of denominators i.e. for 426,974 is 207462.

Thus, GCF of Fractions is 1/207462.Finally, GCF of Fractions for 5981/426, 3359/974 is 1/207462.