Greatest Common Factor of 758/923, 105/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 758/923, 105/194

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 758/923,105/194

Given fractions are 758/923,105/194

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 758,105

Greatest Common Factor of Numerators i.e. GCF of 758,105 is 1 .

LCM of Denominators means LCM of 923,194 as per the given fractions.

LCM of 923,194 is 179062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 758,105

GCF of Fractions 758/923,105/194 is 1/179062

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

Greatest Common Factor of 758,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,105 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 758,105 . The biggest common factor number is the GCF number.
So the greatest common factor 758,105 is 1.

Lets's calculate LCM of 923,194

Given numbers has no common factors except 1. So, there LCM is their product i.e 179062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179062

Therefore, the GCF of Fractions 758/923,105/194 is 1/179062

Least Common Multiple of 923,194 with GCF Formula

Least Common Multiple of 923,194 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 923,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,194) = 1

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

GCF(923,194) x common factors =1 x 1 = 1

LCM(923,194) = ( 923 × 194 ) / 1

LCM(923,194) = 179062 / 1

LCM(923,194) = 179062


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 758/923, 105/194

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 758/923, 105/194?

Answer: GCF of Numerators as per given numbers 758/923, 105/194 is

GCF of Numerators i.e. for 758,105 is 1

LCM of denominators i.e. for 923,194 is 179062.

Thus, GCF of Fractions is 1/179062.Finally, GCF of Fractions for 758/923, 105/194 is 1/179062.