Greatest Common Factor of 24/49, 14/406, 375/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/49, 14/406, 375/749

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 24/49,14/406,375/749

Given fractions are 24/49,14/406,375/749

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 24,14,375

Greatest Common Factor of Numerators i.e. GCF of 24,14,375 is 1 .

LCM of Denominators means LCM of 49,406,749 as per the given fractions.

LCM of 49,406,749 is 304094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,14,375

GCF of Fractions 24/49,14/406,375/749 is 1/304094

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

Greatest Common Factor of 24,14,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,14,375 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 24,14,375 . The biggest common factor number is the GCF number.
So the greatest common factor 24,14,375 is 1.

Lets's calculate LCM of 49,406,749

7 49, 406, 749
7, 58, 107

∴ So the LCM of the given numbers is 7 x 7 x 58 x 107 = 304094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304094

Therefore, the GCF of Fractions 24/49,14/406,375/749 is 1/304094

Least Common Multiple of 49,406,749 with GCF Formula

Least Common Multiple of 49,406,749 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 49,406,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,406,749) = 7

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

GCF(49,406,749) x common factors =7 x 7 = 49

LCM(49,406,749) = ( 49 × 406 × 749 ) / 49

LCM(49,406,749) = 14900606 / 49

LCM(49,406,749) = 304094


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 24/49, 14/406, 375/749

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 24/49, 14/406, 375/749?

Answer: GCF of Numerators as per given numbers 24/49, 14/406, 375/749 is

GCF of Numerators i.e. for 24,14,375 is 1

LCM of denominators i.e. for 49,406,749 is 304094.

Thus, GCF of Fractions is 1/304094.Finally, GCF of Fractions for 24/49, 14/406, 375/749 is 1/304094.