Greatest Common Factor of 9427/790, 8096/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9427/790, 8096/769

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 9427/790,8096/769

Given fractions are 9427/790,8096/769

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 9427,8096

Greatest Common Factor of Numerators i.e. GCF of 9427,8096 is 11 .

LCM of Denominators means LCM of 790,769 as per the given fractions.

LCM of 790,769 is 607510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9427,8096

GCF of Fractions 9427/790,8096/769 is 11/607510

11 9427, 8096
857, 736

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9427,8096 By Matching Biggest Common Factor Method

Greatest Common Factor of 9427,8096 By Matching Biggest Common Factor Method

Factors of 9427

List of positive integer factors of 9427 that divides 9427 without a remainder.

1,11,857,9427

Factors of 8096

List of positive integer factors of 8096 that divides 8096 without a remainder.

1,2,4,8,11,16,22,23,32,44,46,88,92,176,184,253,352,368,506,736,1012,2024,4048,8096

Greatest Common Factor

We found the factors 9427,8096 . The biggest common factor number is the GCF number.
So the greatest common factor 9427,8096 is 11.

Lets's calculate LCM of 790,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 607510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/607510

Therefore, the GCF of Fractions 9427/790,8096/769 is 11/607510

Least Common Multiple of 790,769 with GCF Formula

Least Common Multiple of 790,769 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 790,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,769) = 1

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

GCF(790,769) x common factors =1 x 1 = 1

LCM(790,769) = ( 790 × 769 ) / 1

LCM(790,769) = 607510 / 1

LCM(790,769) = 607510


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 9427/790, 8096/769

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 9427/790, 8096/769?

Answer: GCF of Numerators as per given numbers 9427/790, 8096/769 is

GCF of Numerators i.e. for 9427,8096 is 11

LCM of denominators i.e. for 790,769 is 607510.

Thus, GCF of Fractions is 11/607510.Finally, GCF of Fractions for 9427/790, 8096/769 is 11/607510.