Greatest Common Factor of 5732/900, 5582/2784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5732/900, 5582/2784

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 5732/900,5582/2784

Given fractions are 5732/900,5582/2784

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 5732,5582

Greatest Common Factor of Numerators i.e. GCF of 5732,5582 is 2 .

LCM of Denominators means LCM of 900,2784 as per the given fractions.

LCM of 900,2784 is 208800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5732,5582

GCF of Fractions 5732/900,5582/2784 is 2/208800

2 5732, 5582
2866, 2791

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

Greatest Common Factor of 5732,5582 By Matching Biggest Common Factor Method

Greatest Common Factor of 5732,5582 By Matching Biggest Common Factor Method

Factors of 5732

List of positive integer factors of 5732 that divides 5732 without a remainder.

1,2,4,1433,2866,5732

Factors of 5582

List of positive integer factors of 5582 that divides 5582 without a remainder.

1,2,2791,5582

Greatest Common Factor

We found the factors 5732,5582 . The biggest common factor number is the GCF number.
So the greatest common factor 5732,5582 is 2.

Lets's calculate LCM of 900,2784

2 900, 2784
2 450, 1392
3 225, 696
75, 232

∴ So the LCM of the given numbers is 2 x 2 x 3 x 75 x 232 = 208800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208800

Therefore, the GCF of Fractions 5732/900,5582/2784 is 2/208800

Least Common Multiple of 900,2784 with GCF Formula

Least Common Multiple of 900,2784 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 900,2784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,2784) = 12

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

GCF(900,2784) x common factors =12 x 1 = 12

LCM(900,2784) = ( 900 × 2784 ) / 12

LCM(900,2784) = 2505600 / 12

LCM(900,2784) = 208800


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 5732/900, 5582/2784

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 5732/900, 5582/2784?

Answer: GCF of Numerators as per given numbers 5732/900, 5582/2784 is

GCF of Numerators i.e. for 5732,5582 is 2

LCM of denominators i.e. for 900,2784 is 208800.

Thus, GCF of Fractions is 2/208800.Finally, GCF of Fractions for 5732/900, 5582/2784 is 2/208800.