Greatest Common Factor of 398/19, 761/63, 568/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/19, 761/63, 568/541

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 398/19,761/63,568/541

Given fractions are 398/19,761/63,568/541

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 398,761,568

Greatest Common Factor of Numerators i.e. GCF of 398,761,568 is 1 .

LCM of Denominators means LCM of 19,63,541 as per the given fractions.

LCM of 19,63,541 is 647577 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,761,568

GCF of Fractions 398/19,761/63,568/541 is 1/647577

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

Greatest Common Factor of 398,761,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,761,568 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 398,761,568 . The biggest common factor number is the GCF number.
So the greatest common factor 398,761,568 is 1.

Lets's calculate LCM of 19,63,541

Given numbers has no common factors except 1. So, there LCM is their product i.e 647577

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/647577

Therefore, the GCF of Fractions 398/19,761/63,568/541 is 1/647577

Least Common Multiple of 19,63,541 with GCF Formula

Least Common Multiple of 19,63,541 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 19,63,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,63,541) = 1

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

GCF(19,63,541) x common factors =1 x 1 = 1

LCM(19,63,541) = ( 19 × 63 × 541 ) / 1

LCM(19,63,541) = 647577 / 1

LCM(19,63,541) = 647577


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 398/19, 761/63, 568/541

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 398/19, 761/63, 568/541?

Answer: GCF of Numerators as per given numbers 398/19, 761/63, 568/541 is

GCF of Numerators i.e. for 398,761,568 is 1

LCM of denominators i.e. for 19,63,541 is 647577.

Thus, GCF of Fractions is 1/647577.Finally, GCF of Fractions for 398/19, 761/63, 568/541 is 1/647577.