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GCF of 746/742, 6131/1744

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 746/742, 6131/1744 i.e 1/647024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 746/742, 6131/1744.

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 746/742,6131/1744?

Given fractions are 746/742,6131/1744

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 746/742,6131/1744, numerators are 746,6131

Denominators are 742,1744

The GCF of 746,6131 is 1 .

LCM of 742,1744 is 647024.

The greatest common factor of 746/742,6131/1744 = [GCF of 746,6131]/[LCM of 742,1744]= 1/647024

Therefore, the GCF of 746/742,6131/1744 is 1/647024.

Greatest Common Factor of 746,6131

To find the highest common factor of 746,6131, we have to find the factors of both numbers and list the highest common factor.

The factors of 746 are 1, 2, 373, 746

The factors of 6131 are 1, 6131

The HCF of 746,6131 is 1.

Lets's calculate GCF of 746,6131

Greatest Common Factor (GCF) of 746,6131 By Common Division

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

Greatest Common Factor of 746,6131 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,6131 By Matching Biggest Common Factor Method

Now, list down the factors of 746

:

1,2,373,746

Now, list down the factors of 6131

:

1,6131

Greatest Common Factor

We found the factors 746,6131 . The biggest common factor number is the GCF number.
So the greatest common factor 746,6131 is 1.

Lets's calculate LCM of 742,1744

Lowest Common Multiple of 742,1744 using Common Division

2 742, 1744
371, 872

∴ So the LCM of the given numbers is 2 x 371 x 872 = 647024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/647024

Therefore, the GCF of Fractions 746/742,6131/1744 is 1/647024

Least Common Multiple of 742,1744 with GCF Formula

Least Common Multiple of 742,1744 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 742,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,1744) = 2

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

GCF(742,1744) x common factors =2 x 1 = 2

LCM(742,1744) = ( 742 × 1744 ) / 2

LCM(742,1744) = 1294048 / 2

LCM(742,1744) = 647024


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 746/742, 6131/1744

1. What is the HCF of 746,6131?

The HCF of 746,6131 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 746/742, 6131/1744?

Answer: GCF of Numerators as per given numbers 746/742, 6131/1744 is

GCF of Numerators i.e. for 746,6131 is 1

LCM of denominators i.e. for 742,1744 is 647024.

Thus, GCF of Fractions is 1/647024.Finally, GCF of Fractions for 746/742, 6131/1744 is 1/647024.