Greatest Common Factor of 9461/685, 7407/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9461/685, 7407/754

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 9461/685,7407/754

Given fractions are 9461/685,7407/754

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 9461,7407

Greatest Common Factor of Numerators i.e. GCF of 9461,7407 is 1 .

LCM of Denominators means LCM of 685,754 as per the given fractions.

LCM of 685,754 is 516490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9461,7407

GCF of Fractions 9461/685,7407/754 is 1/516490

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

Greatest Common Factor of 9461,7407 By Matching Biggest Common Factor Method

Greatest Common Factor of 9461,7407 By Matching Biggest Common Factor Method

Factors of 9461

List of positive integer factors of 9461 that divides 9461 without a remainder.

1,9461

Factors of 7407

List of positive integer factors of 7407 that divides 7407 without a remainder.

1,3,9,823,2469,7407

Greatest Common Factor

We found the factors 9461,7407 . The biggest common factor number is the GCF number.
So the greatest common factor 9461,7407 is 1.

Lets's calculate LCM of 685,754

Given numbers has no common factors except 1. So, there LCM is their product i.e 516490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516490

Therefore, the GCF of Fractions 9461/685,7407/754 is 1/516490

Least Common Multiple of 685,754 with GCF Formula

Least Common Multiple of 685,754 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 685,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,754) = 1

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

GCF(685,754) x common factors =1 x 1 = 1

LCM(685,754) = ( 685 × 754 ) / 1

LCM(685,754) = 516490 / 1

LCM(685,754) = 516490


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 9461/685, 7407/754

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 9461/685, 7407/754?

Answer: GCF of Numerators as per given numbers 9461/685, 7407/754 is

GCF of Numerators i.e. for 9461,7407 is 1

LCM of denominators i.e. for 685,754 is 516490.

Thus, GCF of Fractions is 1/516490.Finally, GCF of Fractions for 9461/685, 7407/754 is 1/516490.