Greatest Common Factor of 163/35, 360/28, 725/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 163/35, 360/28, 725/622

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 163/35,360/28,725/622

Given fractions are 163/35,360/28,725/622

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 163,360,725

Greatest Common Factor of Numerators i.e. GCF of 163,360,725 is 1 .

LCM of Denominators means LCM of 35,28,622 as per the given fractions.

LCM of 35,28,622 is 43540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 163,360,725

GCF of Fractions 163/35,360/28,725/622 is 1/43540

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

Greatest Common Factor of 163,360,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,360,725 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

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

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 163,360,725 . The biggest common factor number is the GCF number.
So the greatest common factor 163,360,725 is 1.

Lets's calculate LCM of 35,28,622

2 35, 28, 622
7 35, 14, 311
5, 2, 311

∴ So the LCM of the given numbers is 2 x 7 x 5 x 2 x 311 = 43540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43540

Therefore, the GCF of Fractions 163/35,360/28,725/622 is 1/43540

Least Common Multiple of 35,28,622 with GCF Formula

Least Common Multiple of 35,28,622 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 35,28,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,28,622) = 1

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

GCF(35,28,622) x common factors =1 x 14 = 14

LCM(35,28,622) = ( 35 × 28 × 622 ) / 14

LCM(35,28,622) = 609560 / 14

LCM(35,28,622) = 43540


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 163/35, 360/28, 725/622

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 163/35, 360/28, 725/622?

Answer: GCF of Numerators as per given numbers 163/35, 360/28, 725/622 is

GCF of Numerators i.e. for 163,360,725 is 1

LCM of denominators i.e. for 35,28,622 is 43540.

Thus, GCF of Fractions is 1/43540.Finally, GCF of Fractions for 163/35, 360/28, 725/622 is 1/43540.