Greatest Common Factor of 6953/237, 1495/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6953/237, 1495/119

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 6953/237,1495/119

Given fractions are 6953/237,1495/119

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 6953,1495

Greatest Common Factor of Numerators i.e. GCF of 6953,1495 is 1 .

LCM of Denominators means LCM of 237,119 as per the given fractions.

LCM of 237,119 is 28203 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6953,1495

GCF of Fractions 6953/237,1495/119 is 1/28203

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

Greatest Common Factor of 6953,1495 By Matching Biggest Common Factor Method

Greatest Common Factor of 6953,1495 By Matching Biggest Common Factor Method

Factors of 6953

List of positive integer factors of 6953 that divides 6953 without a remainder.

1,17,409,6953

Factors of 1495

List of positive integer factors of 1495 that divides 1495 without a remainder.

1,5,13,23,65,115,299,1495

Greatest Common Factor

We found the factors 6953,1495 . The biggest common factor number is the GCF number.
So the greatest common factor 6953,1495 is 1.

Lets's calculate LCM of 237,119

Given numbers has no common factors except 1. So, there LCM is their product i.e 28203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28203

Therefore, the GCF of Fractions 6953/237,1495/119 is 1/28203

Least Common Multiple of 237,119 with GCF Formula

Least Common Multiple of 237,119 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 237,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,119) = 1

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

GCF(237,119) x common factors =1 x 1 = 1

LCM(237,119) = ( 237 × 119 ) / 1

LCM(237,119) = 28203 / 1

LCM(237,119) = 28203


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 6953/237, 1495/119

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 6953/237, 1495/119?

Answer: GCF of Numerators as per given numbers 6953/237, 1495/119 is

GCF of Numerators i.e. for 6953,1495 is 1

LCM of denominators i.e. for 237,119 is 28203.

Thus, GCF of Fractions is 1/28203.Finally, GCF of Fractions for 6953/237, 1495/119 is 1/28203.