Greatest Common Factor of 153/38, 3428/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 153/38, 3428/749

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 153/38,3428/749

Given fractions are 153/38,3428/749

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 153,3428

Greatest Common Factor of Numerators i.e. GCF of 153,3428 is 1 .

LCM of Denominators means LCM of 38,749 as per the given fractions.

LCM of 38,749 is 28462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 153,3428

GCF of Fractions 153/38,3428/749 is 1/28462

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

Greatest Common Factor of 153,3428 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,3428 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 3428

List of positive integer factors of 3428 that divides 3428 without a remainder.

1,2,4,857,1714,3428

Greatest Common Factor

We found the factors 153,3428 . The biggest common factor number is the GCF number.
So the greatest common factor 153,3428 is 1.

Lets's calculate LCM of 38,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 28462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28462

Therefore, the GCF of Fractions 153/38,3428/749 is 1/28462

Least Common Multiple of 38,749 with GCF Formula

Least Common Multiple of 38,749 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 38,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,749) = 1

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

GCF(38,749) x common factors =1 x 1 = 1

LCM(38,749) = ( 38 × 749 ) / 1

LCM(38,749) = 28462 / 1

LCM(38,749) = 28462


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 153/38, 3428/749

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 153/38, 3428/749?

Answer: GCF of Numerators as per given numbers 153/38, 3428/749 is

GCF of Numerators i.e. for 153,3428 is 1

LCM of denominators i.e. for 38,749 is 28462.

Thus, GCF of Fractions is 1/28462.Finally, GCF of Fractions for 153/38, 3428/749 is 1/28462.