Greatest Common Factor of 542/429, 198/688, 781/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/429, 198/688, 781/694

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 542/429,198/688,781/694

Given fractions are 542/429,198/688,781/694

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 542,198,781

Greatest Common Factor of Numerators i.e. GCF of 542,198,781 is 1 .

LCM of Denominators means LCM of 429,688,694 as per the given fractions.

LCM of 429,688,694 is 102417744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,198,781

GCF of Fractions 542/429,198/688,781/694 is 1/102417744

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

Greatest Common Factor of 542,198,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,198,781 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 542,198,781 . The biggest common factor number is the GCF number.
So the greatest common factor 542,198,781 is 1.

Lets's calculate LCM of 429,688,694

2 429, 688, 694
429, 344, 347

∴ So the LCM of the given numbers is 2 x 429 x 344 x 347 = 102417744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102417744

Therefore, the GCF of Fractions 542/429,198/688,781/694 is 1/102417744

Least Common Multiple of 429,688,694 with GCF Formula

Least Common Multiple of 429,688,694 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 429,688,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,688,694) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(429,688,694) x common factors =1 x 2 = 2

LCM(429,688,694) = ( 429 × 688 × 694 ) / 2

LCM(429,688,694) = 204835488 / 2

LCM(429,688,694) = 102417744


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 542/429, 198/688, 781/694

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 542/429, 198/688, 781/694?

Answer: GCF of Numerators as per given numbers 542/429, 198/688, 781/694 is

GCF of Numerators i.e. for 542,198,781 is 1

LCM of denominators i.e. for 429,688,694 is 102417744.

Thus, GCF of Fractions is 1/102417744.Finally, GCF of Fractions for 542/429, 198/688, 781/694 is 1/102417744.