Greatest Common Factor of 742/6268, 296/1935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/6268, 296/1935

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 742/6268,296/1935

Given fractions are 742/6268,296/1935

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 742,296

Greatest Common Factor of Numerators i.e. GCF of 742,296 is 2 .

LCM of Denominators means LCM of 6268,1935 as per the given fractions.

LCM of 6268,1935 is 12128580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,296

GCF of Fractions 742/6268,296/1935 is 2/12128580

2 742, 296
371, 148

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 742,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,296 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 742,296 . The biggest common factor number is the GCF number.
So the greatest common factor 742,296 is 2.

Lets's calculate LCM of 6268,1935

Given numbers has no common factors except 1. So, there LCM is their product i.e 12128580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12128580

Therefore, the GCF of Fractions 742/6268,296/1935 is 2/12128580

Least Common Multiple of 6268,1935 with GCF Formula

Least Common Multiple of 6268,1935 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 6268,1935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6268,1935) = 1

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

GCF(6268,1935) x common factors =1 x 1 = 1

LCM(6268,1935) = ( 6268 × 1935 ) / 1

LCM(6268,1935) = 12128580 / 1

LCM(6268,1935) = 12128580


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 742/6268, 296/1935

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 742/6268, 296/1935?

Answer: GCF of Numerators as per given numbers 742/6268, 296/1935 is

GCF of Numerators i.e. for 742,296 is 2

LCM of denominators i.e. for 6268,1935 is 12128580.

Thus, GCF of Fractions is 2/12128580.Finally, GCF of Fractions for 742/6268, 296/1935 is 2/12128580.