Greatest Common Factor of 38/25, 66/99, 742/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/25, 66/99, 742/462

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 38/25,66/99,742/462

Given fractions are 38/25,66/99,742/462

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 38,66,742

Greatest Common Factor of Numerators i.e. GCF of 38,66,742 is 2 .

LCM of Denominators means LCM of 25,99,462 as per the given fractions.

LCM of 25,99,462 is 34650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,66,742

GCF of Fractions 38/25,66/99,742/462 is 2/34650

2 38, 66, 742
19, 33, 371

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,66,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,66,742 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 38,66,742 . The biggest common factor number is the GCF number.
So the greatest common factor 38,66,742 is 2.

Lets's calculate LCM of 25,99,462

3 25, 99, 462
11 25, 33, 154
25, 3, 14

∴ So the LCM of the given numbers is 3 x 11 x 25 x 3 x 14 = 34650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34650

Therefore, the GCF of Fractions 38/25,66/99,742/462 is 2/34650

Least Common Multiple of 25,99,462 with GCF Formula

Least Common Multiple of 25,99,462 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 25,99,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,99,462) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(25,99,462) x common factors =1 x 33 = 33

LCM(25,99,462) = ( 25 × 99 × 462 ) / 33

LCM(25,99,462) = 1143450 / 33

LCM(25,99,462) = 34650


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 38/25, 66/99, 742/462

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 38/25, 66/99, 742/462?

Answer: GCF of Numerators as per given numbers 38/25, 66/99, 742/462 is

GCF of Numerators i.e. for 38,66,742 is 2

LCM of denominators i.e. for 25,99,462 is 34650.

Thus, GCF of Fractions is 2/34650.Finally, GCF of Fractions for 38/25, 66/99, 742/462 is 2/34650.