Greatest Common Factor of 5293/380, 7487/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5293/380, 7487/730

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 5293/380,7487/730

Given fractions are 5293/380,7487/730

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 5293,7487

Greatest Common Factor of Numerators i.e. GCF of 5293,7487 is 1 .

LCM of Denominators means LCM of 380,730 as per the given fractions.

LCM of 380,730 is 27740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5293,7487

GCF of Fractions 5293/380,7487/730 is 1/27740

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

Greatest Common Factor of 5293,7487 By Matching Biggest Common Factor Method

Greatest Common Factor of 5293,7487 By Matching Biggest Common Factor Method

Factors of 5293

List of positive integer factors of 5293 that divides 5293 without a remainder.

1,67,79,5293

Factors of 7487

List of positive integer factors of 7487 that divides 7487 without a remainder.

1,7487

Greatest Common Factor

We found the factors 5293,7487 . The biggest common factor number is the GCF number.
So the greatest common factor 5293,7487 is 1.

Lets's calculate LCM of 380,730

2 380, 730
5 190, 365
38, 73

∴ So the LCM of the given numbers is 2 x 5 x 38 x 73 = 27740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27740

Therefore, the GCF of Fractions 5293/380,7487/730 is 1/27740

Least Common Multiple of 380,730 with GCF Formula

Least Common Multiple of 380,730 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 380,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,730) = 10

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

GCF(380,730) x common factors =10 x 1 = 10

LCM(380,730) = ( 380 × 730 ) / 10

LCM(380,730) = 277400 / 10

LCM(380,730) = 27740


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 5293/380, 7487/730

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 5293/380, 7487/730?

Answer: GCF of Numerators as per given numbers 5293/380, 7487/730 is

GCF of Numerators i.e. for 5293,7487 is 1

LCM of denominators i.e. for 380,730 is 27740.

Thus, GCF of Fractions is 1/27740.Finally, GCF of Fractions for 5293/380, 7487/730 is 1/27740.