Greatest Common Factor of 365/98, 567/30, 508/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/98, 567/30, 508/56

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 365/98,567/30,508/56

Given fractions are 365/98,567/30,508/56

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 365,567,508

Greatest Common Factor of Numerators i.e. GCF of 365,567,508 is 1 .

LCM of Denominators means LCM of 98,30,56 as per the given fractions.

LCM of 98,30,56 is 5880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,567,508

GCF of Fractions 365/98,567/30,508/56 is 1/5880

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

Greatest Common Factor of 365,567,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,567,508 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 365,567,508 . The biggest common factor number is the GCF number.
So the greatest common factor 365,567,508 is 1.

Lets's calculate LCM of 98,30,56

2 98, 30, 56
7 49, 15, 28
7, 15, 4

∴ So the LCM of the given numbers is 2 x 7 x 7 x 15 x 4 = 5880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5880

Therefore, the GCF of Fractions 365/98,567/30,508/56 is 1/5880

Least Common Multiple of 98,30,56 with GCF Formula

Least Common Multiple of 98,30,56 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 98,30,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,30,56) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(98,30,56) x common factors =2 x 14 = 28

LCM(98,30,56) = ( 98 × 30 × 56 ) / 28

LCM(98,30,56) = 164640 / 28

LCM(98,30,56) = 5880


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 365/98, 567/30, 508/56

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 365/98, 567/30, 508/56?

Answer: GCF of Numerators as per given numbers 365/98, 567/30, 508/56 is

GCF of Numerators i.e. for 365,567,508 is 1

LCM of denominators i.e. for 98,30,56 is 5880.

Thus, GCF of Fractions is 1/5880.Finally, GCF of Fractions for 365/98, 567/30, 508/56 is 1/5880.