Greatest Common Factor of 160/270, 9370/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 160/270, 9370/825

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 160/270,9370/825

Given fractions are 160/270,9370/825

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 160,9370

Greatest Common Factor of Numerators i.e. GCF of 160,9370 is 10 .

LCM of Denominators means LCM of 270,825 as per the given fractions.

LCM of 270,825 is 14850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 160,9370

GCF of Fractions 160/270,9370/825 is 10/14850

2 160, 9370
5 80, 4685
16, 937

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 160,9370 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,9370 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 9370

List of positive integer factors of 9370 that divides 9370 without a remainder.

1,2,5,10,937,1874,4685,9370

Greatest Common Factor

We found the factors 160,9370 . The biggest common factor number is the GCF number.
So the greatest common factor 160,9370 is 10.

Lets's calculate LCM of 270,825

3 270, 825
5 90, 275
18, 55

∴ So the LCM of the given numbers is 3 x 5 x 18 x 55 = 14850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/14850

Therefore, the GCF of Fractions 160/270,9370/825 is 10/14850

Least Common Multiple of 270,825 with GCF Formula

Least Common Multiple of 270,825 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 270,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,825) = 15

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

GCF(270,825) x common factors =15 x 1 = 15

LCM(270,825) = ( 270 × 825 ) / 15

LCM(270,825) = 222750 / 15

LCM(270,825) = 14850


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 160/270, 9370/825

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 160/270, 9370/825?

Answer: GCF of Numerators as per given numbers 160/270, 9370/825 is

GCF of Numerators i.e. for 160,9370 is 10

LCM of denominators i.e. for 270,825 is 14850.

Thus, GCF of Fractions is 10/14850.Finally, GCF of Fractions for 160/270, 9370/825 is 10/14850.