Greatest Common Factor of 8405/780, 6761/4954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8405/780, 6761/4954

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 8405/780,6761/4954

Given fractions are 8405/780,6761/4954

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 8405,6761

Greatest Common Factor of Numerators i.e. GCF of 8405,6761 is 1 .

LCM of Denominators means LCM of 780,4954 as per the given fractions.

LCM of 780,4954 is 1932060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8405,6761

GCF of Fractions 8405/780,6761/4954 is 1/1932060

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

Greatest Common Factor of 8405,6761 By Matching Biggest Common Factor Method

Greatest Common Factor of 8405,6761 By Matching Biggest Common Factor Method

Factors of 8405

List of positive integer factors of 8405 that divides 8405 without a remainder.

1,5,41,205,1681,8405

Factors of 6761

List of positive integer factors of 6761 that divides 6761 without a remainder.

1,6761

Greatest Common Factor

We found the factors 8405,6761 . The biggest common factor number is the GCF number.
So the greatest common factor 8405,6761 is 1.

Lets's calculate LCM of 780,4954

2 780, 4954
390, 2477

∴ So the LCM of the given numbers is 2 x 390 x 2477 = 1932060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1932060

Therefore, the GCF of Fractions 8405/780,6761/4954 is 1/1932060

Least Common Multiple of 780,4954 with GCF Formula

Least Common Multiple of 780,4954 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 780,4954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,4954) = 2

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

GCF(780,4954) x common factors =2 x 1 = 2

LCM(780,4954) = ( 780 × 4954 ) / 2

LCM(780,4954) = 3864120 / 2

LCM(780,4954) = 1932060


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 8405/780, 6761/4954

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 8405/780, 6761/4954?

Answer: GCF of Numerators as per given numbers 8405/780, 6761/4954 is

GCF of Numerators i.e. for 8405,6761 is 1

LCM of denominators i.e. for 780,4954 is 1932060.

Thus, GCF of Fractions is 1/1932060.Finally, GCF of Fractions for 8405/780, 6761/4954 is 1/1932060.