Greatest Common Factor of 761/746, 9514/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 761/746, 9514/392

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 761/746,9514/392

Given fractions are 761/746,9514/392

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 761,9514

Greatest Common Factor of Numerators i.e. GCF of 761,9514 is 1 .

LCM of Denominators means LCM of 746,392 as per the given fractions.

LCM of 746,392 is 146216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 761,9514

GCF of Fractions 761/746,9514/392 is 1/146216

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

Greatest Common Factor of 761,9514 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,9514 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 9514

List of positive integer factors of 9514 that divides 9514 without a remainder.

1,2,67,71,134,142,4757,9514

Greatest Common Factor

We found the factors 761,9514 . The biggest common factor number is the GCF number.
So the greatest common factor 761,9514 is 1.

Lets's calculate LCM of 746,392

2 746, 392
373, 196

∴ So the LCM of the given numbers is 2 x 373 x 196 = 146216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146216

Therefore, the GCF of Fractions 761/746,9514/392 is 1/146216

Least Common Multiple of 746,392 with GCF Formula

Least Common Multiple of 746,392 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 746,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,392) = 2

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

GCF(746,392) x common factors =2 x 1 = 2

LCM(746,392) = ( 746 × 392 ) / 2

LCM(746,392) = 292432 / 2

LCM(746,392) = 146216


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 761/746, 9514/392

1. 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.

2. What is the GCF of Fractions for 761/746, 9514/392?

Answer: GCF of Numerators as per given numbers 761/746, 9514/392 is

GCF of Numerators i.e. for 761,9514 is 1

LCM of denominators i.e. for 746,392 is 146216.

Thus, GCF of Fractions is 1/146216.Finally, GCF of Fractions for 761/746, 9514/392 is 1/146216.