Greatest Common Factor of 696/769, 8404/6391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/769, 8404/6391

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 696/769,8404/6391

Given fractions are 696/769,8404/6391

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 696,8404

Greatest Common Factor of Numerators i.e. GCF of 696,8404 is 4 .

LCM of Denominators means LCM of 769,6391 as per the given fractions.

LCM of 769,6391 is 4914679 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,8404

GCF of Fractions 696/769,8404/6391 is 4/4914679

2 696, 8404
2 348, 4202
174, 2101

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 696,8404 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,8404 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 8404

List of positive integer factors of 8404 that divides 8404 without a remainder.

1,2,4,11,22,44,191,382,764,2101,4202,8404

Greatest Common Factor

We found the factors 696,8404 . The biggest common factor number is the GCF number.
So the greatest common factor 696,8404 is 4.

Lets's calculate LCM of 769,6391

Given numbers has no common factors except 1. So, there LCM is their product i.e 4914679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4914679

Therefore, the GCF of Fractions 696/769,8404/6391 is 4/4914679

Least Common Multiple of 769,6391 with GCF Formula

Least Common Multiple of 769,6391 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 769,6391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,6391) = 1

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

GCF(769,6391) x common factors =1 x 1 = 1

LCM(769,6391) = ( 769 × 6391 ) / 1

LCM(769,6391) = 4914679 / 1

LCM(769,6391) = 4914679


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 696/769, 8404/6391

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 696/769, 8404/6391?

Answer: GCF of Numerators as per given numbers 696/769, 8404/6391 is

GCF of Numerators i.e. for 696,8404 is 4

LCM of denominators i.e. for 769,6391 is 4914679.

Thus, GCF of Fractions is 4/4914679.Finally, GCF of Fractions for 696/769, 8404/6391 is 4/4914679.