Greatest Common Factor of 1872/965, 5736/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1872/965, 5736/853

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 1872/965,5736/853

Given fractions are 1872/965,5736/853

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 1872,5736

Greatest Common Factor of Numerators i.e. GCF of 1872,5736 is 24 .

LCM of Denominators means LCM of 965,853 as per the given fractions.

LCM of 965,853 is 823145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1872,5736

GCF of Fractions 1872/965,5736/853 is 24/823145

2 1872, 5736
2 936, 2868
2 468, 1434
3 234, 717
78, 239

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 1872,5736 By Matching Biggest Common Factor Method

Greatest Common Factor of 1872,5736 By Matching Biggest Common Factor Method

Factors of 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Greatest Common Factor

We found the factors 1872,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 1872,5736 is 24.

Lets's calculate LCM of 965,853

Given numbers has no common factors except 1. So, there LCM is their product i.e 823145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/823145

Therefore, the GCF of Fractions 1872/965,5736/853 is 24/823145

Least Common Multiple of 965,853 with GCF Formula

Least Common Multiple of 965,853 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 965,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,853) = 1

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

GCF(965,853) x common factors =1 x 1 = 1

LCM(965,853) = ( 965 × 853 ) / 1

LCM(965,853) = 823145 / 1

LCM(965,853) = 823145


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 1872/965, 5736/853

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 1872/965, 5736/853?

Answer: GCF of Numerators as per given numbers 1872/965, 5736/853 is

GCF of Numerators i.e. for 1872,5736 is 24

LCM of denominators i.e. for 965,853 is 823145.

Thus, GCF of Fractions is 24/823145.Finally, GCF of Fractions for 1872/965, 5736/853 is 24/823145.