Greatest Common Factor of 5371/867, 3088/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5371/867, 3088/504

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 5371/867,3088/504

Given fractions are 5371/867,3088/504

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 5371,3088

Greatest Common Factor of Numerators i.e. GCF of 5371,3088 is 1 .

LCM of Denominators means LCM of 867,504 as per the given fractions.

LCM of 867,504 is 145656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5371,3088

GCF of Fractions 5371/867,3088/504 is 1/145656

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

Greatest Common Factor of 5371,3088 By Matching Biggest Common Factor Method

Greatest Common Factor of 5371,3088 By Matching Biggest Common Factor Method

Factors of 5371

List of positive integer factors of 5371 that divides 5371 without a remainder.

1,41,131,5371

Factors of 3088

List of positive integer factors of 3088 that divides 3088 without a remainder.

1,2,4,8,16,193,386,772,1544,3088

Greatest Common Factor

We found the factors 5371,3088 . The biggest common factor number is the GCF number.
So the greatest common factor 5371,3088 is 1.

Lets's calculate LCM of 867,504

3 867, 504
289, 168

∴ So the LCM of the given numbers is 3 x 289 x 168 = 145656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145656

Therefore, the GCF of Fractions 5371/867,3088/504 is 1/145656

Least Common Multiple of 867,504 with GCF Formula

Least Common Multiple of 867,504 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 867,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,504) = 3

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

GCF(867,504) x common factors =3 x 1 = 3

LCM(867,504) = ( 867 × 504 ) / 3

LCM(867,504) = 436968 / 3

LCM(867,504) = 145656


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 5371/867, 3088/504

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 5371/867, 3088/504?

Answer: GCF of Numerators as per given numbers 5371/867, 3088/504 is

GCF of Numerators i.e. for 5371,3088 is 1

LCM of denominators i.e. for 867,504 is 145656.

Thus, GCF of Fractions is 1/145656.Finally, GCF of Fractions for 5371/867, 3088/504 is 1/145656.