Greatest Common Factor of 742/654, 5718/9830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/654, 5718/9830

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 742/654,5718/9830

Given fractions are 742/654,5718/9830

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 742,5718

Greatest Common Factor of Numerators i.e. GCF of 742,5718 is 2 .

LCM of Denominators means LCM of 654,9830 as per the given fractions.

LCM of 654,9830 is 3214410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,5718

GCF of Fractions 742/654,5718/9830 is 2/3214410

2 742, 5718
371, 2859

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

Greatest Common Factor of 742,5718 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,5718 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 5718

List of positive integer factors of 5718 that divides 5718 without a remainder.

1,2,3,6,953,1906,2859,5718

Greatest Common Factor

We found the factors 742,5718 . The biggest common factor number is the GCF number.
So the greatest common factor 742,5718 is 2.

Lets's calculate LCM of 654,9830

2 654, 9830
327, 4915

∴ So the LCM of the given numbers is 2 x 327 x 4915 = 3214410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3214410

Therefore, the GCF of Fractions 742/654,5718/9830 is 2/3214410

Least Common Multiple of 654,9830 with GCF Formula

Least Common Multiple of 654,9830 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 654,9830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,9830) = 2

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

GCF(654,9830) x common factors =2 x 1 = 2

LCM(654,9830) = ( 654 × 9830 ) / 2

LCM(654,9830) = 6428820 / 2

LCM(654,9830) = 3214410


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 742/654, 5718/9830

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 742/654, 5718/9830?

Answer: GCF of Numerators as per given numbers 742/654, 5718/9830 is

GCF of Numerators i.e. for 742,5718 is 2

LCM of denominators i.e. for 654,9830 is 3214410.

Thus, GCF of Fractions is 2/3214410.Finally, GCF of Fractions for 742/654, 5718/9830 is 2/3214410.