Greatest Common Factor of 38/91, 488/26, 705/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/91, 488/26, 705/191

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 38/91,488/26,705/191

Given fractions are 38/91,488/26,705/191

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 38,488,705

Greatest Common Factor of Numerators i.e. GCF of 38,488,705 is 1 .

LCM of Denominators means LCM of 91,26,191 as per the given fractions.

LCM of 91,26,191 is 34762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,488,705

GCF of Fractions 38/91,488/26,705/191 is 1/34762

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

Greatest Common Factor of 38,488,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,488,705 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 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 38,488,705 . The biggest common factor number is the GCF number.
So the greatest common factor 38,488,705 is 1.

Lets's calculate LCM of 91,26,191

13 91, 26, 191
7, 2, 191

∴ So the LCM of the given numbers is 13 x 7 x 2 x 191 = 34762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34762

Therefore, the GCF of Fractions 38/91,488/26,705/191 is 1/34762

Least Common Multiple of 91,26,191 with GCF Formula

Least Common Multiple of 91,26,191 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 91,26,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,26,191) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,26,191) x common factors =1 x 13 = 13

LCM(91,26,191) = ( 91 × 26 × 191 ) / 13

LCM(91,26,191) = 451906 / 13

LCM(91,26,191) = 34762


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 38/91, 488/26, 705/191

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 38/91, 488/26, 705/191?

Answer: GCF of Numerators as per given numbers 38/91, 488/26, 705/191 is

GCF of Numerators i.e. for 38,488,705 is 1

LCM of denominators i.e. for 91,26,191 is 34762.

Thus, GCF of Fractions is 1/34762.Finally, GCF of Fractions for 38/91, 488/26, 705/191 is 1/34762.