Greatest Common Factor of 2832/227, 4842/5716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2832/227, 4842/5716

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 2832/227,4842/5716

Given fractions are 2832/227,4842/5716

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 2832,4842

Greatest Common Factor of Numerators i.e. GCF of 2832,4842 is 6 .

LCM of Denominators means LCM of 227,5716 as per the given fractions.

LCM of 227,5716 is 1297532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2832,4842

GCF of Fractions 2832/227,4842/5716 is 6/1297532

2 2832, 4842
3 1416, 2421
472, 807

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2832,4842 By Matching Biggest Common Factor Method

Greatest Common Factor of 2832,4842 By Matching Biggest Common Factor Method

Factors of 2832

List of positive integer factors of 2832 that divides 2832 without a remainder.

1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832

Factors of 4842

List of positive integer factors of 4842 that divides 4842 without a remainder.

1,2,3,6,9,18,269,538,807,1614,2421,4842

Greatest Common Factor

We found the factors 2832,4842 . The biggest common factor number is the GCF number.
So the greatest common factor 2832,4842 is 6.

Lets's calculate LCM of 227,5716

Given numbers has no common factors except 1. So, there LCM is their product i.e 1297532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1297532

Therefore, the GCF of Fractions 2832/227,4842/5716 is 6/1297532

Least Common Multiple of 227,5716 with GCF Formula

Least Common Multiple of 227,5716 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 227,5716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,5716) = 1

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

GCF(227,5716) x common factors =1 x 1 = 1

LCM(227,5716) = ( 227 × 5716 ) / 1

LCM(227,5716) = 1297532 / 1

LCM(227,5716) = 1297532


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 2832/227, 4842/5716

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 2832/227, 4842/5716?

Answer: GCF of Numerators as per given numbers 2832/227, 4842/5716 is

GCF of Numerators i.e. for 2832,4842 is 6

LCM of denominators i.e. for 227,5716 is 1297532.

Thus, GCF of Fractions is 6/1297532.Finally, GCF of Fractions for 2832/227, 4842/5716 is 6/1297532.