Greatest Common Factor of 696/91, 966/69, 977/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/91, 966/69, 977/509

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 696/91,966/69,977/509

Given fractions are 696/91,966/69,977/509

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 696,966,977

Greatest Common Factor of Numerators i.e. GCF of 696,966,977 is 1 .

LCM of Denominators means LCM of 91,69,509 as per the given fractions.

LCM of 91,69,509 is 3196011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,966,977

GCF of Fractions 696/91,966/69,977/509 is 1/3196011

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

Greatest Common Factor of 696,966,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,966,977 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 696,966,977 . The biggest common factor number is the GCF number.
So the greatest common factor 696,966,977 is 1.

Lets's calculate LCM of 91,69,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 3196011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3196011

Therefore, the GCF of Fractions 696/91,966/69,977/509 is 1/3196011

Least Common Multiple of 91,69,509 with GCF Formula

Least Common Multiple of 91,69,509 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 91,69,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,69,509) = 1

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

GCF(91,69,509) x common factors =1 x 1 = 1

LCM(91,69,509) = ( 91 × 69 × 509 ) / 1

LCM(91,69,509) = 3196011 / 1

LCM(91,69,509) = 3196011


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 696/91, 966/69, 977/509

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 696/91, 966/69, 977/509?

Answer: GCF of Numerators as per given numbers 696/91, 966/69, 977/509 is

GCF of Numerators i.e. for 696,966,977 is 1

LCM of denominators i.e. for 91,69,509 is 3196011.

Thus, GCF of Fractions is 1/3196011.Finally, GCF of Fractions for 696/91, 966/69, 977/509 is 1/3196011.