Greatest Common Factor of 583/20, 6360/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 583/20, 6360/861

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 583/20,6360/861

Given fractions are 583/20,6360/861

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 583,6360

Greatest Common Factor of Numerators i.e. GCF of 583,6360 is 53 .

LCM of Denominators means LCM of 20,861 as per the given fractions.

LCM of 20,861 is 17220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 583,6360

GCF of Fractions 583/20,6360/861 is 53/17220

53 583, 6360
11, 120

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 583,6360 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,6360 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 6360

List of positive integer factors of 6360 that divides 6360 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360

Greatest Common Factor

We found the factors 583,6360 . The biggest common factor number is the GCF number.
So the greatest common factor 583,6360 is 53.

Lets's calculate LCM of 20,861

Given numbers has no common factors except 1. So, there LCM is their product i.e 17220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/17220

Therefore, the GCF of Fractions 583/20,6360/861 is 53/17220

Least Common Multiple of 20,861 with GCF Formula

Least Common Multiple of 20,861 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 20,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,861) = 1

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

GCF(20,861) x common factors =1 x 1 = 1

LCM(20,861) = ( 20 × 861 ) / 1

LCM(20,861) = 17220 / 1

LCM(20,861) = 17220


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 583/20, 6360/861

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 583/20, 6360/861?

Answer: GCF of Numerators as per given numbers 583/20, 6360/861 is

GCF of Numerators i.e. for 583,6360 is 53

LCM of denominators i.e. for 20,861 is 17220.

Thus, GCF of Fractions is 53/17220.Finally, GCF of Fractions for 583/20, 6360/861 is 53/17220.