Greatest Common Factor of 30/26, 45/82, 375/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 30/26, 45/82, 375/95

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 30/26,45/82,375/95

Given fractions are 30/26,45/82,375/95

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 30,45,375

Greatest Common Factor of Numerators i.e. GCF of 30,45,375 is 15 .

LCM of Denominators means LCM of 26,82,95 as per the given fractions.

LCM of 26,82,95 is 101270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,45,375

GCF of Fractions 30/26,45/82,375/95 is 15/101270

3 30, 45, 375
5 10, 15, 125
2, 3, 25

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 30,45,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,45,375 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 30,45,375 . The biggest common factor number is the GCF number.
So the greatest common factor 30,45,375 is 15.


Lets's calculate LCM of 26,82,95

2 26, 82, 95
13, 41, 95

∴ So the LCM of the given numbers is 2 x 13 x 41 x 95 = 101270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/101270

Therefore, the GCF of Fractions 30/26,45/82,375/95 is 15/101270

Least Common Multiple of 26,82,95 with GCF Formula

Least Common Multiple of 26,82,95 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 26,82,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,82,95) = 1

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

GCF(26,82,95) x common factors =1 x 2 = 2

LCM(26,82,95) = ( 26 × 82 × 95 ) / 2

LCM(26,82,95) = 202540 / 2

LCM(26,82,95) = 101270


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 30/26, 45/82, 375/95

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 30/26, 45/82, 375/95?

Answer: GCF of Numerators as per given numbers 30/26, 45/82, 375/95 is

GCF of Numerators i.e. for 30,45,375 is 15

LCM of denominators i.e. for 26,82,95 is 101270.

Thus, GCF of Fractions is 15/101270.Finally, GCF of Fractions for 30/26, 45/82, 375/95 is 15/101270.