Greatest Common Factor of 1991/749, 6966/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1991/749, 6966/625

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 1991/749,6966/625

Given fractions are 1991/749,6966/625

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 1991,6966

Greatest Common Factor of Numerators i.e. GCF of 1991,6966 is 1 .

LCM of Denominators means LCM of 749,625 as per the given fractions.

LCM of 749,625 is 468125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1991,6966

GCF of Fractions 1991/749,6966/625 is 1/468125

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

Greatest Common Factor of 1991,6966 By Matching Biggest Common Factor Method

Greatest Common Factor of 1991,6966 By Matching Biggest Common Factor Method

Factors of 1991

List of positive integer factors of 1991 that divides 1991 without a remainder.

1,11,181,1991

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Greatest Common Factor

We found the factors 1991,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 1991,6966 is 1.

Lets's calculate LCM of 749,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 468125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/468125

Therefore, the GCF of Fractions 1991/749,6966/625 is 1/468125

Least Common Multiple of 749,625 with GCF Formula

Least Common Multiple of 749,625 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 749,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,625) = 1

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

GCF(749,625) x common factors =1 x 1 = 1

LCM(749,625) = ( 749 × 625 ) / 1

LCM(749,625) = 468125 / 1

LCM(749,625) = 468125


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 1991/749, 6966/625

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 1991/749, 6966/625?

Answer: GCF of Numerators as per given numbers 1991/749, 6966/625 is

GCF of Numerators i.e. for 1991,6966 is 1

LCM of denominators i.e. for 749,625 is 468125.

Thus, GCF of Fractions is 1/468125.Finally, GCF of Fractions for 1991/749, 6966/625 is 1/468125.