Greatest Common Factor of 1596/38, 1372/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1596/38, 1372/349

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 1596/38,1372/349

Given fractions are 1596/38,1372/349

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 1596,1372

Greatest Common Factor of Numerators i.e. GCF of 1596,1372 is 28 .

LCM of Denominators means LCM of 38,349 as per the given fractions.

LCM of 38,349 is 13262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1596,1372

GCF of Fractions 1596/38,1372/349 is 28/13262

2 1596, 1372
2 798, 686
7 399, 343
57, 49

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 1596,1372 By Matching Biggest Common Factor Method

Greatest Common Factor of 1596,1372 By Matching Biggest Common Factor Method

Factors of 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596

Factors of 1372

List of positive integer factors of 1372 that divides 1372 without a remainder.

1,2,4,7,14,28,49,98,196,343,686,1372

Greatest Common Factor

We found the factors 1596,1372 . The biggest common factor number is the GCF number.
So the greatest common factor 1596,1372 is 28.

Lets's calculate LCM of 38,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 13262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/13262

Therefore, the GCF of Fractions 1596/38,1372/349 is 28/13262

Least Common Multiple of 38,349 with GCF Formula

Least Common Multiple of 38,349 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 38,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,349) = 1

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

GCF(38,349) x common factors =1 x 1 = 1

LCM(38,349) = ( 38 × 349 ) / 1

LCM(38,349) = 13262 / 1

LCM(38,349) = 13262


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 1596/38, 1372/349

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 1596/38, 1372/349?

Answer: GCF of Numerators as per given numbers 1596/38, 1372/349 is

GCF of Numerators i.e. for 1596,1372 is 28

LCM of denominators i.e. for 38,349 is 13262.

Thus, GCF of Fractions is 28/13262.Finally, GCF of Fractions for 1596/38, 1372/349 is 28/13262.