Greatest Common Factor of 4356/483, 5864/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4356/483, 5864/727

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 4356/483,5864/727

Given fractions are 4356/483,5864/727

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 4356,5864

Greatest Common Factor of Numerators i.e. GCF of 4356,5864 is 4 .

LCM of Denominators means LCM of 483,727 as per the given fractions.

LCM of 483,727 is 351141 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4356,5864

GCF of Fractions 4356/483,5864/727 is 4/351141

2 4356, 5864
2 2178, 2932
1089, 1466

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

Greatest Common Factor of 4356,5864 By Matching Biggest Common Factor Method

Greatest Common Factor of 4356,5864 By Matching Biggest Common Factor Method

Factors of 4356

List of positive integer factors of 4356 that divides 4356 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356

Factors of 5864

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

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

Greatest Common Factor

We found the factors 4356,5864 . The biggest common factor number is the GCF number.
So the greatest common factor 4356,5864 is 4.

Lets's calculate LCM of 483,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 351141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/351141

Therefore, the GCF of Fractions 4356/483,5864/727 is 4/351141

Least Common Multiple of 483,727 with GCF Formula

Least Common Multiple of 483,727 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 483,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,727) = 1

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

GCF(483,727) x common factors =1 x 1 = 1

LCM(483,727) = ( 483 × 727 ) / 1

LCM(483,727) = 351141 / 1

LCM(483,727) = 351141


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 4356/483, 5864/727

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 4356/483, 5864/727?

Answer: GCF of Numerators as per given numbers 4356/483, 5864/727 is

GCF of Numerators i.e. for 4356,5864 is 4

LCM of denominators i.e. for 483,727 is 351141.

Thus, GCF of Fractions is 4/351141.Finally, GCF of Fractions for 4356/483, 5864/727 is 4/351141.