Greatest Common Factor of 5122/11, 8583/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5122/11, 8583/420

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 5122/11,8583/420

Given fractions are 5122/11,8583/420

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 5122,8583

Greatest Common Factor of Numerators i.e. GCF of 5122,8583 is 1 .

LCM of Denominators means LCM of 11,420 as per the given fractions.

LCM of 11,420 is 4620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5122,8583

GCF of Fractions 5122/11,8583/420 is 1/4620

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5122,8583 By Matching Biggest Common Factor Method

Greatest Common Factor of 5122,8583 By Matching Biggest Common Factor Method

Factors of 5122

List of positive integer factors of 5122 that divides 5122 without a remainder.

1,2,13,26,197,394,2561,5122

Factors of 8583

List of positive integer factors of 8583 that divides 8583 without a remainder.

1,3,2861,8583

Greatest Common Factor

We found the factors 5122,8583 . The biggest common factor number is the GCF number.
So the greatest common factor 5122,8583 is 1.

Lets's calculate LCM of 11,420

Given numbers has no common factors except 1. So, there LCM is their product i.e 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620

Therefore, the GCF of Fractions 5122/11,8583/420 is 1/4620

Least Common Multiple of 11,420 with GCF Formula

Least Common Multiple of 11,420 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 11,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,420) = 1

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

GCF(11,420) x common factors =1 x 1 = 1

LCM(11,420) = ( 11 × 420 ) / 1

LCM(11,420) = 4620 / 1

LCM(11,420) = 4620


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 5122/11, 8583/420

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 5122/11, 8583/420?

Answer: GCF of Numerators as per given numbers 5122/11, 8583/420 is

GCF of Numerators i.e. for 5122,8583 is 1

LCM of denominators i.e. for 11,420 is 4620.

Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 5122/11, 8583/420 is 1/4620.