Greatest Common Factor of 249/695, 1743/6102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 249/695, 1743/6102

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 249/695,1743/6102

Given fractions are 249/695,1743/6102

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 249,1743

Greatest Common Factor of Numerators i.e. GCF of 249,1743 is 249 .

LCM of Denominators means LCM of 695,6102 as per the given fractions.

LCM of 695,6102 is 4240890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 249,1743

GCF of Fractions 249/695,1743/6102 is 249/4240890

3 249, 1743
83 83, 581
1, 7

∴ So the GCF of the given numbers is 3 x 83 = 249

Greatest Common Factor of 249,1743 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,1743 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 1743

List of positive integer factors of 1743 that divides 1743 without a remainder.

1,3,7,21,83,249,581,1743

Greatest Common Factor

We found the factors 249,1743 . The biggest common factor number is the GCF number.
So the greatest common factor 249,1743 is 249.

Lets's calculate LCM of 695,6102

Given numbers has no common factors except 1. So, there LCM is their product i.e 4240890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 249/4240890

Therefore, the GCF of Fractions 249/695,1743/6102 is 249/4240890

Least Common Multiple of 695,6102 with GCF Formula

Least Common Multiple of 695,6102 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 695,6102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,6102) = 1

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

GCF(695,6102) x common factors =1 x 1 = 1

LCM(695,6102) = ( 695 × 6102 ) / 1

LCM(695,6102) = 4240890 / 1

LCM(695,6102) = 4240890


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 249/695, 1743/6102

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 249/695, 1743/6102?

Answer: GCF of Numerators as per given numbers 249/695, 1743/6102 is

GCF of Numerators i.e. for 249,1743 is 249

LCM of denominators i.e. for 695,6102 is 4240890.

Thus, GCF of Fractions is 249/4240890.Finally, GCF of Fractions for 249/695, 1743/6102 is 249/4240890.