Greatest Common Factor of 38/58, 827/34, 422/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/58, 827/34, 422/198

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 38/58,827/34,422/198

Given fractions are 38/58,827/34,422/198

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 38,827,422

Greatest Common Factor of Numerators i.e. GCF of 38,827,422 is 1 .

LCM of Denominators means LCM of 58,34,198 as per the given fractions.

LCM of 58,34,198 is 97614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,827,422

GCF of Fractions 38/58,827/34,422/198 is 1/97614

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

Greatest Common Factor of 38,827,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,827,422 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 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 38,827,422 . The biggest common factor number is the GCF number.
So the greatest common factor 38,827,422 is 1.

Lets's calculate LCM of 58,34,198

2 58, 34, 198
29, 17, 99

∴ So the LCM of the given numbers is 2 x 29 x 17 x 99 = 97614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97614

Therefore, the GCF of Fractions 38/58,827/34,422/198 is 1/97614

Least Common Multiple of 58,34,198 with GCF Formula

Least Common Multiple of 58,34,198 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 58,34,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,34,198) = 2

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

GCF(58,34,198) x common factors =2 x 2 = 4

LCM(58,34,198) = ( 58 × 34 × 198 ) / 4

LCM(58,34,198) = 390456 / 4

LCM(58,34,198) = 97614


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 38/58, 827/34, 422/198

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 38/58, 827/34, 422/198?

Answer: GCF of Numerators as per given numbers 38/58, 827/34, 422/198 is

GCF of Numerators i.e. for 38,827,422 is 1

LCM of denominators i.e. for 58,34,198 is 97614.

Thus, GCF of Fractions is 1/97614.Finally, GCF of Fractions for 38/58, 827/34, 422/198 is 1/97614.