Greatest Common Factor of 6511/362, 6964/9570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6511/362, 6964/9570

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 6511/362,6964/9570

Given fractions are 6511/362,6964/9570

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 6511,6964

Greatest Common Factor of Numerators i.e. GCF of 6511,6964 is 1 .

LCM of Denominators means LCM of 362,9570 as per the given fractions.

LCM of 362,9570 is 1732170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6511,6964

GCF of Fractions 6511/362,6964/9570 is 1/1732170

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

Greatest Common Factor of 6511,6964 By Matching Biggest Common Factor Method

Greatest Common Factor of 6511,6964 By Matching Biggest Common Factor Method

Factors of 6511

List of positive integer factors of 6511 that divides 6511 without a remainder.

1,17,383,6511

Factors of 6964

List of positive integer factors of 6964 that divides 6964 without a remainder.

1,2,4,1741,3482,6964

Greatest Common Factor

We found the factors 6511,6964 . The biggest common factor number is the GCF number.
So the greatest common factor 6511,6964 is 1.

Lets's calculate LCM of 362,9570

2 362, 9570
181, 4785

∴ So the LCM of the given numbers is 2 x 181 x 4785 = 1732170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1732170

Therefore, the GCF of Fractions 6511/362,6964/9570 is 1/1732170

Least Common Multiple of 362,9570 with GCF Formula

Least Common Multiple of 362,9570 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 362,9570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,9570) = 2

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

GCF(362,9570) x common factors =2 x 1 = 2

LCM(362,9570) = ( 362 × 9570 ) / 2

LCM(362,9570) = 3464340 / 2

LCM(362,9570) = 1732170


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 6511/362, 6964/9570

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 6511/362, 6964/9570?

Answer: GCF of Numerators as per given numbers 6511/362, 6964/9570 is

GCF of Numerators i.e. for 6511,6964 is 1

LCM of denominators i.e. for 362,9570 is 1732170.

Thus, GCF of Fractions is 1/1732170.Finally, GCF of Fractions for 6511/362, 6964/9570 is 1/1732170.