Greatest Common Factor of 5864/55, 8724/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5864/55, 8724/345

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 5864/55,8724/345

Given fractions are 5864/55,8724/345

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 5864,8724

Greatest Common Factor of Numerators i.e. GCF of 5864,8724 is 4 .

LCM of Denominators means LCM of 55,345 as per the given fractions.

LCM of 55,345 is 3795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5864,8724

GCF of Fractions 5864/55,8724/345 is 4/3795

2 5864, 8724
2 2932, 4362
1466, 2181

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5864,8724 By Matching Biggest Common Factor Method

Greatest Common Factor of 5864,8724 By Matching Biggest Common Factor Method

Factors of 5864

List of positive integer factors of 5864 that divides 5864 without a remainder.

1,2,4,8,733,1466,2932,5864

Factors of 8724

List of positive integer factors of 8724 that divides 8724 without a remainder.

1,2,3,4,6,12,727,1454,2181,2908,4362,8724

Greatest Common Factor

We found the factors 5864,8724 . The biggest common factor number is the GCF number.
So the greatest common factor 5864,8724 is 4.

Lets's calculate LCM of 55,345

5 55, 345
11, 69

∴ So the LCM of the given numbers is 5 x 11 x 69 = 3795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3795

Therefore, the GCF of Fractions 5864/55,8724/345 is 4/3795

Least Common Multiple of 55,345 with GCF Formula

Least Common Multiple of 55,345 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 55,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,345) = 5

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

GCF(55,345) x common factors =5 x 1 = 5

LCM(55,345) = ( 55 × 345 ) / 5

LCM(55,345) = 18975 / 5

LCM(55,345) = 3795


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 5864/55, 8724/345

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 5864/55, 8724/345?

Answer: GCF of Numerators as per given numbers 5864/55, 8724/345 is

GCF of Numerators i.e. for 5864,8724 is 4

LCM of denominators i.e. for 55,345 is 3795.

Thus, GCF of Fractions is 4/3795.Finally, GCF of Fractions for 5864/55, 8724/345 is 4/3795.