Greatest Common Factor of 65/240, 5629/6703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/240, 5629/6703

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 65/240,5629/6703

Given fractions are 65/240,5629/6703

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 65,5629

Greatest Common Factor of Numerators i.e. GCF of 65,5629 is 13 .

LCM of Denominators means LCM of 240,6703 as per the given fractions.

LCM of 240,6703 is 1608720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,5629

GCF of Fractions 65/240,5629/6703 is 13/1608720

13 65, 5629
5, 433

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 65,5629 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,5629 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 5629

List of positive integer factors of 5629 that divides 5629 without a remainder.

1,13,433,5629

Greatest Common Factor

We found the factors 65,5629 . The biggest common factor number is the GCF number.
So the greatest common factor 65,5629 is 13.

Lets's calculate LCM of 240,6703

Given numbers has no common factors except 1. So, there LCM is their product i.e 1608720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1608720

Therefore, the GCF of Fractions 65/240,5629/6703 is 13/1608720

Least Common Multiple of 240,6703 with GCF Formula

Least Common Multiple of 240,6703 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 240,6703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,6703) = 1

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

GCF(240,6703) x common factors =1 x 1 = 1

LCM(240,6703) = ( 240 × 6703 ) / 1

LCM(240,6703) = 1608720 / 1

LCM(240,6703) = 1608720


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 65/240, 5629/6703

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 65/240, 5629/6703?

Answer: GCF of Numerators as per given numbers 65/240, 5629/6703 is

GCF of Numerators i.e. for 65,5629 is 13

LCM of denominators i.e. for 240,6703 is 1608720.

Thus, GCF of Fractions is 13/1608720.Finally, GCF of Fractions for 65/240, 5629/6703 is 13/1608720.