Greatest Common Factor of 4020/563, 4179/2076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4020/563, 4179/2076

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 4020/563,4179/2076

Given fractions are 4020/563,4179/2076

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 4020,4179

Greatest Common Factor of Numerators i.e. GCF of 4020,4179 is 3 .

LCM of Denominators means LCM of 563,2076 as per the given fractions.

LCM of 563,2076 is 1168788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4020,4179

GCF of Fractions 4020/563,4179/2076 is 3/1168788

3 4020, 4179
1340, 1393

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

Greatest Common Factor of 4020,4179 By Matching Biggest Common Factor Method

Greatest Common Factor of 4020,4179 By Matching Biggest Common Factor Method

Factors of 4020

List of positive integer factors of 4020 that divides 4020 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020

Factors of 4179

List of positive integer factors of 4179 that divides 4179 without a remainder.

1,3,7,21,199,597,1393,4179

Greatest Common Factor

We found the factors 4020,4179 . The biggest common factor number is the GCF number.
So the greatest common factor 4020,4179 is 3.

Lets's calculate LCM of 563,2076

Given numbers has no common factors except 1. So, there LCM is their product i.e 1168788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1168788

Therefore, the GCF of Fractions 4020/563,4179/2076 is 3/1168788

Least Common Multiple of 563,2076 with GCF Formula

Least Common Multiple of 563,2076 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 563,2076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,2076) = 1

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

GCF(563,2076) x common factors =1 x 1 = 1

LCM(563,2076) = ( 563 × 2076 ) / 1

LCM(563,2076) = 1168788 / 1

LCM(563,2076) = 1168788


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 4020/563, 4179/2076

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 4020/563, 4179/2076?

Answer: GCF of Numerators as per given numbers 4020/563, 4179/2076 is

GCF of Numerators i.e. for 4020,4179 is 3

LCM of denominators i.e. for 563,2076 is 1168788.

Thus, GCF of Fractions is 3/1168788.Finally, GCF of Fractions for 4020/563, 4179/2076 is 3/1168788.