Greatest Common Factor of 38/759, 322/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/759, 322/923

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 38/759,322/923

Given fractions are 38/759,322/923

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 38,322

Greatest Common Factor of Numerators i.e. GCF of 38,322 is 2 .

LCM of Denominators means LCM of 759,923 as per the given fractions.

LCM of 759,923 is 700557 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,322

GCF of Fractions 38/759,322/923 is 2/700557

2 38, 322
19, 161

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

Greatest Common Factor of 38,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,322 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 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 38,322 . The biggest common factor number is the GCF number.
So the greatest common factor 38,322 is 2.

Lets's calculate LCM of 759,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 700557

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/700557

Therefore, the GCF of Fractions 38/759,322/923 is 2/700557

Least Common Multiple of 759,923 with GCF Formula

Least Common Multiple of 759,923 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 759,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,923) = 1

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

GCF(759,923) x common factors =1 x 1 = 1

LCM(759,923) = ( 759 × 923 ) / 1

LCM(759,923) = 700557 / 1

LCM(759,923) = 700557


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 38/759, 322/923

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 38/759, 322/923?

Answer: GCF of Numerators as per given numbers 38/759, 322/923 is

GCF of Numerators i.e. for 38,322 is 2

LCM of denominators i.e. for 759,923 is 700557.

Thus, GCF of Fractions is 2/700557.Finally, GCF of Fractions for 38/759, 322/923 is 2/700557.