Greatest Common Factor of 194/231, 970/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 194/231, 970/836

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 194/231,970/836

Given fractions are 194/231,970/836

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 194,970

Greatest Common Factor of Numerators i.e. GCF of 194,970 is 194 .

LCM of Denominators means LCM of 231,836 as per the given fractions.

LCM of 231,836 is 17556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 194,970

GCF of Fractions 194/231,970/836 is 194/17556

2 194, 970
97 97, 485
1, 5

∴ So the GCF of the given numbers is 2 x 97 = 194

Greatest Common Factor of 194,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,970 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 194,970 . The biggest common factor number is the GCF number.
So the greatest common factor 194,970 is 194.

Lets's calculate LCM of 231,836

11 231, 836
21, 76

∴ So the LCM of the given numbers is 11 x 21 x 76 = 17556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 194/17556

Therefore, the GCF of Fractions 194/231,970/836 is 194/17556

Least Common Multiple of 231,836 with GCF Formula

Least Common Multiple of 231,836 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 231,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,836) = 11

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

GCF(231,836) x common factors =11 x 1 = 11

LCM(231,836) = ( 231 × 836 ) / 11

LCM(231,836) = 193116 / 11

LCM(231,836) = 17556


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 194/231, 970/836

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 194/231, 970/836?

Answer: GCF of Numerators as per given numbers 194/231, 970/836 is

GCF of Numerators i.e. for 194,970 is 194

LCM of denominators i.e. for 231,836 is 17556.

Thus, GCF of Fractions is 194/17556.Finally, GCF of Fractions for 194/231, 970/836 is 194/17556.