Greatest Common Factor of 1/31, 38/21, 25/931, 213/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/31, 38/21, 25/931, 213/907

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 1/31,38/21,25/931,213/907

Given fractions are 1/31,38/21,25/931,213/907

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 1,38,25,213

Greatest Common Factor of Numerators i.e. GCF of 1,38,25,213 is 1 .

LCM of Denominators means LCM of 31,21,931,907 as per the given fractions.

LCM of 31,21,931,907 is 78530781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,38,25,213

GCF of Fractions 1/31,38/21,25/931,213/907 is 1/78530781

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

Greatest Common Factor of 1,38,25,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,38,25,213 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 38

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

1,2,19,38

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 1,38,25,213 . The biggest common factor number is the GCF number.
So the greatest common factor 1,38,25,213 is 1.

Lets's calculate LCM of 31,21,931,907

7 31, 21, 931, 907
31, 3, 133, 907

∴ So the LCM of the given numbers is 7 x 31 x 3 x 133 x 907 = 78530781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78530781

Therefore, the GCF of Fractions 1/31,38/21,25/931,213/907 is 1/78530781

Least Common Multiple of 31,21,931,907 with GCF Formula

Least Common Multiple of 31,21,931,907 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 31,21,931,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,21,931,907) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(31,21,931,907) x common factors =1 x 7 = 7

LCM(31,21,931,907) = ( 31 × 21 × 931 × 907 ) / 7

LCM(31,21,931,907) = 549715467 / 7

LCM(31,21,931,907) = 78530781


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1/31, 38/21, 25/931, 213/907

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 1/31, 38/21, 25/931, 213/907?

Answer: GCF of Numerators as per given numbers 1/31, 38/21, 25/931, 213/907 is

GCF of Numerators i.e. for 1,38,25,213 is 1

LCM of denominators i.e. for 31,21,931,907 is 78530781.

Thus, GCF of Fractions is 1/78530781.Finally, GCF of Fractions for 1/31, 38/21, 25/931, 213/907 is 1/78530781.