Greatest Common Factor of 923/35, 178/24, 217/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 923/35, 178/24, 217/190

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 923/35,178/24,217/190

Given fractions are 923/35,178/24,217/190

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 923,178,217

Greatest Common Factor of Numerators i.e. GCF of 923,178,217 is 1 .

LCM of Denominators means LCM of 35,24,190 as per the given fractions.

LCM of 35,24,190 is 15960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 923,178,217

GCF of Fractions 923/35,178/24,217/190 is 1/15960

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

Greatest Common Factor of 923,178,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,178,217 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 923,178,217 . The biggest common factor number is the GCF number.
So the greatest common factor 923,178,217 is 1.

Lets's calculate LCM of 35,24,190

2 35, 24, 190
5 35, 12, 95
7, 12, 19

∴ So the LCM of the given numbers is 2 x 5 x 7 x 12 x 19 = 15960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15960

Therefore, the GCF of Fractions 923/35,178/24,217/190 is 1/15960

Least Common Multiple of 35,24,190 with GCF Formula

Least Common Multiple of 35,24,190 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 35,24,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,24,190) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(35,24,190) x common factors =1 x 10 = 10

LCM(35,24,190) = ( 35 × 24 × 190 ) / 10

LCM(35,24,190) = 159600 / 10

LCM(35,24,190) = 15960


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 923/35, 178/24, 217/190

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 923/35, 178/24, 217/190?

Answer: GCF of Numerators as per given numbers 923/35, 178/24, 217/190 is

GCF of Numerators i.e. for 923,178,217 is 1

LCM of denominators i.e. for 35,24,190 is 15960.

Thus, GCF of Fractions is 1/15960.Finally, GCF of Fractions for 923/35, 178/24, 217/190 is 1/15960.