Greatest Common Factor of 5322/586, 2503/3129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5322/586, 2503/3129

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 5322/586,2503/3129

Given fractions are 5322/586,2503/3129

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 5322,2503

Greatest Common Factor of Numerators i.e. GCF of 5322,2503 is 1 .

LCM of Denominators means LCM of 586,3129 as per the given fractions.

LCM of 586,3129 is 1833594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5322,2503

GCF of Fractions 5322/586,2503/3129 is 1/1833594

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

Greatest Common Factor of 5322,2503 By Matching Biggest Common Factor Method

Greatest Common Factor of 5322,2503 By Matching Biggest Common Factor Method

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1,2,3,6,887,1774,2661,5322

Factors of 2503

List of positive integer factors of 2503 that divides 2503 without a remainder.

1,2503

Greatest Common Factor

We found the factors 5322,2503 . The biggest common factor number is the GCF number.
So the greatest common factor 5322,2503 is 1.

Lets's calculate LCM of 586,3129

Given numbers has no common factors except 1. So, there LCM is their product i.e 1833594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1833594

Therefore, the GCF of Fractions 5322/586,2503/3129 is 1/1833594

Least Common Multiple of 586,3129 with GCF Formula

Least Common Multiple of 586,3129 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 586,3129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,3129) = 1

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

GCF(586,3129) x common factors =1 x 1 = 1

LCM(586,3129) = ( 586 × 3129 ) / 1

LCM(586,3129) = 1833594 / 1

LCM(586,3129) = 1833594


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 5322/586, 2503/3129

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 5322/586, 2503/3129?

Answer: GCF of Numerators as per given numbers 5322/586, 2503/3129 is

GCF of Numerators i.e. for 5322,2503 is 1

LCM of denominators i.e. for 586,3129 is 1833594.

Thus, GCF of Fractions is 1/1833594.Finally, GCF of Fractions for 5322/586, 2503/3129 is 1/1833594.