Greatest Common Factor of 3/21, 45/13, 88/325, 387/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/21, 45/13, 88/325, 387/148

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 3/21,45/13,88/325,387/148

Given fractions are 3/21,45/13,88/325,387/148

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 3,45,88,387

Greatest Common Factor of Numerators i.e. GCF of 3,45,88,387 is 1 .

LCM of Denominators means LCM of 21,13,325,148 as per the given fractions.

LCM of 21,13,325,148 is 1010100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,45,88,387

GCF of Fractions 3/21,45/13,88/325,387/148 is 1/1010100

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

Greatest Common Factor of 3,45,88,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,45,88,387 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 45

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

1,3,5,9,15,45

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 3,45,88,387 . The biggest common factor number is the GCF number.
So the greatest common factor 3,45,88,387 is 1.

Lets's calculate LCM of 21,13,325,148

13 21, 13, 325, 148
21, 1, 25, 148

∴ So the LCM of the given numbers is 13 x 21 x 1 x 25 x 148 = 1010100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1010100

Therefore, the GCF of Fractions 3/21,45/13,88/325,387/148 is 1/1010100

Least Common Multiple of 21,13,325,148 with GCF Formula

Least Common Multiple of 21,13,325,148 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 21,13,325,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,13,325,148) = 1

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

GCF(21,13,325,148) x common factors =1 x 13 = 13

LCM(21,13,325,148) = ( 21 × 13 × 325 × 148 ) / 13

LCM(21,13,325,148) = 13131300 / 13

LCM(21,13,325,148) = 1010100


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 3/21, 45/13, 88/325, 387/148

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 3/21, 45/13, 88/325, 387/148?

Answer: GCF of Numerators as per given numbers 3/21, 45/13, 88/325, 387/148 is

GCF of Numerators i.e. for 3,45,88,387 is 1

LCM of denominators i.e. for 21,13,325,148 is 1010100.

Thus, GCF of Fractions is 1/1010100.Finally, GCF of Fractions for 3/21, 45/13, 88/325, 387/148 is 1/1010100.