Greatest Common Factor of 735/102, 709/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 735/102, 709/631

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 735/102,709/631

Given fractions are 735/102,709/631

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 735,709

Greatest Common Factor of Numerators i.e. GCF of 735,709 is 1 .

LCM of Denominators means LCM of 102,631 as per the given fractions.

LCM of 102,631 is 64362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 735,709

GCF of Fractions 735/102,709/631 is 1/64362

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

Greatest Common Factor of 735,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,709 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 735,709 . The biggest common factor number is the GCF number.
So the greatest common factor 735,709 is 1.

Lets's calculate LCM of 102,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 64362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64362

Therefore, the GCF of Fractions 735/102,709/631 is 1/64362

Least Common Multiple of 102,631 with GCF Formula

Least Common Multiple of 102,631 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 102,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,631) = 1

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

GCF(102,631) x common factors =1 x 1 = 1

LCM(102,631) = ( 102 × 631 ) / 1

LCM(102,631) = 64362 / 1

LCM(102,631) = 64362


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 735/102, 709/631

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 735/102, 709/631?

Answer: GCF of Numerators as per given numbers 735/102, 709/631 is

GCF of Numerators i.e. for 735,709 is 1

LCM of denominators i.e. for 102,631 is 64362.

Thus, GCF of Fractions is 1/64362.Finally, GCF of Fractions for 735/102, 709/631 is 1/64362.