Greatest Common Factor of 682/645, 735/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/645, 735/242

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 682/645,735/242

Given fractions are 682/645,735/242

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 682,735

Greatest Common Factor of Numerators i.e. GCF of 682,735 is 1 .

LCM of Denominators means LCM of 645,242 as per the given fractions.

LCM of 645,242 is 156090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,735

GCF of Fractions 682/645,735/242 is 1/156090

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

Greatest Common Factor of 682,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,735 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

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

Greatest Common Factor

We found the factors 682,735 . The biggest common factor number is the GCF number.
So the greatest common factor 682,735 is 1.

Lets's calculate LCM of 645,242

Given numbers has no common factors except 1. So, there LCM is their product i.e 156090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156090

Therefore, the GCF of Fractions 682/645,735/242 is 1/156090

Least Common Multiple of 645,242 with GCF Formula

Least Common Multiple of 645,242 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 645,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,242) = 1

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

GCF(645,242) x common factors =1 x 1 = 1

LCM(645,242) = ( 645 × 242 ) / 1

LCM(645,242) = 156090 / 1

LCM(645,242) = 156090


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 682/645, 735/242

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 682/645, 735/242?

Answer: GCF of Numerators as per given numbers 682/645, 735/242 is

GCF of Numerators i.e. for 682,735 is 1

LCM of denominators i.e. for 645,242 is 156090.

Thus, GCF of Fractions is 1/156090.Finally, GCF of Fractions for 682/645, 735/242 is 1/156090.