Greatest Common Factor of 742/254, 9697/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/254, 9697/102

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 742/254,9697/102

Given fractions are 742/254,9697/102

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 742,9697

Greatest Common Factor of Numerators i.e. GCF of 742,9697 is 1 .

LCM of Denominators means LCM of 254,102 as per the given fractions.

LCM of 254,102 is 12954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,9697

GCF of Fractions 742/254,9697/102 is 1/12954

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

Greatest Common Factor of 742,9697 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,9697 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 9697

List of positive integer factors of 9697 that divides 9697 without a remainder.

1,9697

Greatest Common Factor

We found the factors 742,9697 . The biggest common factor number is the GCF number.
So the greatest common factor 742,9697 is 1.

Lets's calculate LCM of 254,102

2 254, 102
127, 51

∴ So the LCM of the given numbers is 2 x 127 x 51 = 12954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12954

Therefore, the GCF of Fractions 742/254,9697/102 is 1/12954

Least Common Multiple of 254,102 with GCF Formula

Least Common Multiple of 254,102 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 254,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,102) = 2

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

GCF(254,102) x common factors =2 x 1 = 2

LCM(254,102) = ( 254 × 102 ) / 2

LCM(254,102) = 25908 / 2

LCM(254,102) = 12954


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 742/254, 9697/102

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 742/254, 9697/102?

Answer: GCF of Numerators as per given numbers 742/254, 9697/102 is

GCF of Numerators i.e. for 742,9697 is 1

LCM of denominators i.e. for 254,102 is 12954.

Thus, GCF of Fractions is 1/12954.Finally, GCF of Fractions for 742/254, 9697/102 is 1/12954.