Greatest Common Factor of 5301/584, 7514/3335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5301/584, 7514/3335

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 5301/584,7514/3335

Given fractions are 5301/584,7514/3335

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 5301,7514

Greatest Common Factor of Numerators i.e. GCF of 5301,7514 is 1 .

LCM of Denominators means LCM of 584,3335 as per the given fractions.

LCM of 584,3335 is 1947640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5301,7514

GCF of Fractions 5301/584,7514/3335 is 1/1947640

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

Greatest Common Factor of 5301,7514 By Matching Biggest Common Factor Method

Greatest Common Factor of 5301,7514 By Matching Biggest Common Factor Method

Factors of 5301

List of positive integer factors of 5301 that divides 5301 without a remainder.

1,3,9,19,31,57,93,171,279,589,1767,5301

Factors of 7514

List of positive integer factors of 7514 that divides 7514 without a remainder.

1,2,13,17,26,34,221,289,442,578,3757,7514

Greatest Common Factor

We found the factors 5301,7514 . The biggest common factor number is the GCF number.
So the greatest common factor 5301,7514 is 1.

Lets's calculate LCM of 584,3335

Given numbers has no common factors except 1. So, there LCM is their product i.e 1947640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1947640

Therefore, the GCF of Fractions 5301/584,7514/3335 is 1/1947640

Least Common Multiple of 584,3335 with GCF Formula

Least Common Multiple of 584,3335 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 584,3335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,3335) = 1

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

GCF(584,3335) x common factors =1 x 1 = 1

LCM(584,3335) = ( 584 × 3335 ) / 1

LCM(584,3335) = 1947640 / 1

LCM(584,3335) = 1947640


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 5301/584, 7514/3335

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 5301/584, 7514/3335?

Answer: GCF of Numerators as per given numbers 5301/584, 7514/3335 is

GCF of Numerators i.e. for 5301,7514 is 1

LCM of denominators i.e. for 584,3335 is 1947640.

Thus, GCF of Fractions is 1/1947640.Finally, GCF of Fractions for 5301/584, 7514/3335 is 1/1947640.