Greatest Common Factor of 21/375, 146/239, 436/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/375, 146/239, 436/304

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 21/375,146/239,436/304

Given fractions are 21/375,146/239,436/304

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 21,146,436

Greatest Common Factor of Numerators i.e. GCF of 21,146,436 is 1 .

LCM of Denominators means LCM of 375,239,304 as per the given fractions.

LCM of 375,239,304 is 27246000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,146,436

GCF of Fractions 21/375,146/239,436/304 is 1/27246000

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

Greatest Common Factor of 21,146,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,146,436 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 21,146,436 . The biggest common factor number is the GCF number.
So the greatest common factor 21,146,436 is 1.

Lets's calculate LCM of 375,239,304

Given numbers has no common factors except 1. So, there LCM is their product i.e 27246000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27246000

Therefore, the GCF of Fractions 21/375,146/239,436/304 is 1/27246000

Least Common Multiple of 375,239,304 with GCF Formula

Least Common Multiple of 375,239,304 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 375,239,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,239,304) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(375,239,304) x common factors =1 x 1 = 1

LCM(375,239,304) = ( 375 × 239 × 304 ) / 1

LCM(375,239,304) = 27246000 / 1

LCM(375,239,304) = 27246000


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 21/375, 146/239, 436/304

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 21/375, 146/239, 436/304?

Answer: GCF of Numerators as per given numbers 21/375, 146/239, 436/304 is

GCF of Numerators i.e. for 21,146,436 is 1

LCM of denominators i.e. for 375,239,304 is 27246000.

Thus, GCF of Fractions is 1/27246000.Finally, GCF of Fractions for 21/375, 146/239, 436/304 is 1/27246000.