Greatest Common Factor of 359/17, 235/90, 920/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 359/17, 235/90, 920/964

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 359/17,235/90,920/964

Given fractions are 359/17,235/90,920/964

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 359,235,920

Greatest Common Factor of Numerators i.e. GCF of 359,235,920 is 1 .

LCM of Denominators means LCM of 17,90,964 as per the given fractions.

LCM of 17,90,964 is 737460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 359,235,920

GCF of Fractions 359/17,235/90,920/964 is 1/737460

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

Greatest Common Factor of 359,235,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,235,920 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 359,235,920 . The biggest common factor number is the GCF number.
So the greatest common factor 359,235,920 is 1.

Lets's calculate LCM of 17,90,964

2 17, 90, 964
17, 45, 482

∴ So the LCM of the given numbers is 2 x 17 x 45 x 482 = 737460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/737460

Therefore, the GCF of Fractions 359/17,235/90,920/964 is 1/737460

Least Common Multiple of 17,90,964 with GCF Formula

Least Common Multiple of 17,90,964 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 17,90,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,90,964) = 1

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

GCF(17,90,964) x common factors =1 x 2 = 2

LCM(17,90,964) = ( 17 × 90 × 964 ) / 2

LCM(17,90,964) = 1474920 / 2

LCM(17,90,964) = 737460


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 359/17, 235/90, 920/964

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 359/17, 235/90, 920/964?

Answer: GCF of Numerators as per given numbers 359/17, 235/90, 920/964 is

GCF of Numerators i.e. for 359,235,920 is 1

LCM of denominators i.e. for 17,90,964 is 737460.

Thus, GCF of Fractions is 1/737460.Finally, GCF of Fractions for 359/17, 235/90, 920/964 is 1/737460.