Greatest Common Factor of 1823/765, 5370/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1823/765, 5370/928

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 1823/765,5370/928

Given fractions are 1823/765,5370/928

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 1823,5370

Greatest Common Factor of Numerators i.e. GCF of 1823,5370 is 1 .

LCM of Denominators means LCM of 765,928 as per the given fractions.

LCM of 765,928 is 709920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1823,5370

GCF of Fractions 1823/765,5370/928 is 1/709920

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

Greatest Common Factor of 1823,5370 By Matching Biggest Common Factor Method

Greatest Common Factor of 1823,5370 By Matching Biggest Common Factor Method

Factors of 1823

List of positive integer factors of 1823 that divides 1823 without a remainder.

1,1823

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370

Greatest Common Factor

We found the factors 1823,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 1823,5370 is 1.

Lets's calculate LCM of 765,928

Given numbers has no common factors except 1. So, there LCM is their product i.e 709920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709920

Therefore, the GCF of Fractions 1823/765,5370/928 is 1/709920

Least Common Multiple of 765,928 with GCF Formula

Least Common Multiple of 765,928 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 765,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,928) = 1

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

GCF(765,928) x common factors =1 x 1 = 1

LCM(765,928) = ( 765 × 928 ) / 1

LCM(765,928) = 709920 / 1

LCM(765,928) = 709920


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 1823/765, 5370/928

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 1823/765, 5370/928?

Answer: GCF of Numerators as per given numbers 1823/765, 5370/928 is

GCF of Numerators i.e. for 1823,5370 is 1

LCM of denominators i.e. for 765,928 is 709920.

Thus, GCF of Fractions is 1/709920.Finally, GCF of Fractions for 1823/765, 5370/928 is 1/709920.