Greatest Common Factor of 38/51, 153/35, 958/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/51, 153/35, 958/790

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 38/51,153/35,958/790

Given fractions are 38/51,153/35,958/790

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 38,153,958

Greatest Common Factor of Numerators i.e. GCF of 38,153,958 is 1 .

LCM of Denominators means LCM of 51,35,790 as per the given fractions.

LCM of 51,35,790 is 282030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,153,958

GCF of Fractions 38/51,153/35,958/790 is 1/282030

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

Greatest Common Factor of 38,153,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,153,958 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 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 38,153,958 . The biggest common factor number is the GCF number.
So the greatest common factor 38,153,958 is 1.

Lets's calculate LCM of 51,35,790

5 51, 35, 790
51, 7, 158

∴ So the LCM of the given numbers is 5 x 51 x 7 x 158 = 282030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282030

Therefore, the GCF of Fractions 38/51,153/35,958/790 is 1/282030

Least Common Multiple of 51,35,790 with GCF Formula

Least Common Multiple of 51,35,790 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 51,35,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,35,790) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(51,35,790) x common factors =1 x 5 = 5

LCM(51,35,790) = ( 51 × 35 × 790 ) / 5

LCM(51,35,790) = 1410150 / 5

LCM(51,35,790) = 282030


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 38/51, 153/35, 958/790

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 38/51, 153/35, 958/790?

Answer: GCF of Numerators as per given numbers 38/51, 153/35, 958/790 is

GCF of Numerators i.e. for 38,153,958 is 1

LCM of denominators i.e. for 51,35,790 is 282030.

Thus, GCF of Fractions is 1/282030.Finally, GCF of Fractions for 38/51, 153/35, 958/790 is 1/282030.