Greatest Common Factor of 38/20, 499/40, 543/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/20, 499/40, 543/674

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 38/20,499/40,543/674

Given fractions are 38/20,499/40,543/674

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 38,499,543

Greatest Common Factor of Numerators i.e. GCF of 38,499,543 is 1 .

LCM of Denominators means LCM of 20,40,674 as per the given fractions.

LCM of 20,40,674 is 13480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,499,543

GCF of Fractions 38/20,499/40,543/674 is 1/13480

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

Greatest Common Factor of 38,499,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,499,543 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 38,499,543 . The biggest common factor number is the GCF number.
So the greatest common factor 38,499,543 is 1.

Lets's calculate LCM of 20,40,674

2 20, 40, 674
2 10, 20, 337
5 5, 10, 337
1, 2, 337

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 2 x 337 = 13480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13480

Therefore, the GCF of Fractions 38/20,499/40,543/674 is 1/13480

Least Common Multiple of 20,40,674 with GCF Formula

Least Common Multiple of 20,40,674 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 20,40,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,40,674) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(20,40,674) x common factors =2 x 20 = 40

LCM(20,40,674) = ( 20 × 40 × 674 ) / 40

LCM(20,40,674) = 539200 / 40

LCM(20,40,674) = 13480


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 38/20, 499/40, 543/674

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 38/20, 499/40, 543/674?

Answer: GCF of Numerators as per given numbers 38/20, 499/40, 543/674 is

GCF of Numerators i.e. for 38,499,543 is 1

LCM of denominators i.e. for 20,40,674 is 13480.

Thus, GCF of Fractions is 1/13480.Finally, GCF of Fractions for 38/20, 499/40, 543/674 is 1/13480.