Greatest Common Factor of 849/791, 961/994, 691/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 849/791, 961/994, 691/994

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 849/791,961/994,691/994

Given fractions are 849/791,961/994,691/994

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 849,961,691

Greatest Common Factor of Numerators i.e. GCF of 849,961,691 is 1 .

LCM of Denominators means LCM of 791,994,994 as per the given fractions.

LCM of 791,994,994 is 112322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 849,961,691

GCF of Fractions 849/791,961/994,691/994 is 1/112322

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

Greatest Common Factor of 849,961,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,961,691 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 849,961,691 . The biggest common factor number is the GCF number.
So the greatest common factor 849,961,691 is 1.

Lets's calculate LCM of 791,994,994

2 791, 994, 994
7 791, 497, 497
71 113, 71, 71
113, 1, 1

∴ So the LCM of the given numbers is 2 x 7 x 71 x 113 x 1 x 1 = 112322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112322

Therefore, the GCF of Fractions 849/791,961/994,691/994 is 1/112322

Least Common Multiple of 791,994,994 with GCF Formula

Least Common Multiple of 791,994,994 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 791,994,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,994,994) = 7

common factors(in case of two or more numbers have common factors) = 994

GCF(791,994,994) x common factors =7 x 994 = 6958

LCM(791,994,994) = ( 791 × 994 × 994 ) / 6958

LCM(791,994,994) = 781536476 / 6958

LCM(791,994,994) = 112322


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 849/791, 961/994, 691/994

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 849/791, 961/994, 691/994?

Answer: GCF of Numerators as per given numbers 849/791, 961/994, 691/994 is

GCF of Numerators i.e. for 849,961,691 is 1

LCM of denominators i.e. for 791,994,994 is 112322.

Thus, GCF of Fractions is 1/112322.Finally, GCF of Fractions for 849/791, 961/994, 691/994 is 1/112322.