Greatest Common Factor of 7323/782, 5328/5036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7323/782, 5328/5036

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 7323/782,5328/5036

Given fractions are 7323/782,5328/5036

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 7323,5328

Greatest Common Factor of Numerators i.e. GCF of 7323,5328 is 3 .

LCM of Denominators means LCM of 782,5036 as per the given fractions.

LCM of 782,5036 is 1969076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7323,5328

GCF of Fractions 7323/782,5328/5036 is 3/1969076

3 7323, 5328
2441, 1776

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7323,5328 By Matching Biggest Common Factor Method

Greatest Common Factor of 7323,5328 By Matching Biggest Common Factor Method

Factors of 7323

List of positive integer factors of 7323 that divides 7323 without a remainder.

1,3,2441,7323

Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Greatest Common Factor

We found the factors 7323,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 7323,5328 is 3.

Lets's calculate LCM of 782,5036

2 782, 5036
391, 2518

∴ So the LCM of the given numbers is 2 x 391 x 2518 = 1969076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1969076

Therefore, the GCF of Fractions 7323/782,5328/5036 is 3/1969076

Least Common Multiple of 782,5036 with GCF Formula

Least Common Multiple of 782,5036 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 782,5036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,5036) = 2

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

GCF(782,5036) x common factors =2 x 1 = 2

LCM(782,5036) = ( 782 × 5036 ) / 2

LCM(782,5036) = 3938152 / 2

LCM(782,5036) = 1969076


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 7323/782, 5328/5036

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 7323/782, 5328/5036?

Answer: GCF of Numerators as per given numbers 7323/782, 5328/5036 is

GCF of Numerators i.e. for 7323,5328 is 3

LCM of denominators i.e. for 782,5036 is 1969076.

Thus, GCF of Fractions is 3/1969076.Finally, GCF of Fractions for 7323/782, 5328/5036 is 3/1969076.