Greatest Common Factor of 52/986, 22/422, 360/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/986, 22/422, 360/155

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 52/986,22/422,360/155

Given fractions are 52/986,22/422,360/155

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 52,22,360

Greatest Common Factor of Numerators i.e. GCF of 52,22,360 is 2 .

LCM of Denominators means LCM of 986,422,155 as per the given fractions.

LCM of 986,422,155 is 32247130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,22,360

GCF of Fractions 52/986,22/422,360/155 is 2/32247130

2 52, 22, 360
26, 11, 180

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 52,22,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,22,360 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 52,22,360 . The biggest common factor number is the GCF number.
So the greatest common factor 52,22,360 is 2.

Lets's calculate LCM of 986,422,155

2 986, 422, 155
493, 211, 155

∴ So the LCM of the given numbers is 2 x 493 x 211 x 155 = 32247130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32247130

Therefore, the GCF of Fractions 52/986,22/422,360/155 is 2/32247130

Least Common Multiple of 986,422,155 with GCF Formula

Least Common Multiple of 986,422,155 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 986,422,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,422,155) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(986,422,155) x common factors =1 x 2 = 2

LCM(986,422,155) = ( 986 × 422 × 155 ) / 2

LCM(986,422,155) = 64494260 / 2

LCM(986,422,155) = 32247130


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 52/986, 22/422, 360/155

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 52/986, 22/422, 360/155?

Answer: GCF of Numerators as per given numbers 52/986, 22/422, 360/155 is

GCF of Numerators i.e. for 52,22,360 is 2

LCM of denominators i.e. for 986,422,155 is 32247130.

Thus, GCF of Fractions is 2/32247130.Finally, GCF of Fractions for 52/986, 22/422, 360/155 is 2/32247130.