Greatest Common Factor of 9535/764, 6546/4470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9535/764, 6546/4470

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 9535/764,6546/4470

Given fractions are 9535/764,6546/4470

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 9535,6546

Greatest Common Factor of Numerators i.e. GCF of 9535,6546 is 1 .

LCM of Denominators means LCM of 764,4470 as per the given fractions.

LCM of 764,4470 is 1707540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9535,6546

GCF of Fractions 9535/764,6546/4470 is 1/1707540

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

Greatest Common Factor of 9535,6546 By Matching Biggest Common Factor Method

Greatest Common Factor of 9535,6546 By Matching Biggest Common Factor Method

Factors of 9535

List of positive integer factors of 9535 that divides 9535 without a remainder.

1,5,1907,9535

Factors of 6546

List of positive integer factors of 6546 that divides 6546 without a remainder.

1,2,3,6,1091,2182,3273,6546

Greatest Common Factor

We found the factors 9535,6546 . The biggest common factor number is the GCF number.
So the greatest common factor 9535,6546 is 1.

Lets's calculate LCM of 764,4470

2 764, 4470
382, 2235

∴ So the LCM of the given numbers is 2 x 382 x 2235 = 1707540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1707540

Therefore, the GCF of Fractions 9535/764,6546/4470 is 1/1707540

Least Common Multiple of 764,4470 with GCF Formula

Least Common Multiple of 764,4470 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 764,4470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,4470) = 2

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

GCF(764,4470) x common factors =2 x 1 = 2

LCM(764,4470) = ( 764 × 4470 ) / 2

LCM(764,4470) = 3415080 / 2

LCM(764,4470) = 1707540


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 9535/764, 6546/4470

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 9535/764, 6546/4470?

Answer: GCF of Numerators as per given numbers 9535/764, 6546/4470 is

GCF of Numerators i.e. for 9535,6546 is 1

LCM of denominators i.e. for 764,4470 is 1707540.

Thus, GCF of Fractions is 1/1707540.Finally, GCF of Fractions for 9535/764, 6546/4470 is 1/1707540.