Greatest Common Factor of 798/158, 8106/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/158, 8106/119

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 798/158,8106/119

Given fractions are 798/158,8106/119

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 798,8106

Greatest Common Factor of Numerators i.e. GCF of 798,8106 is 42 .

LCM of Denominators means LCM of 158,119 as per the given fractions.

LCM of 158,119 is 18802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,8106

GCF of Fractions 798/158,8106/119 is 42/18802

2 798, 8106
3 399, 4053
7 133, 1351
19, 193

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 798,8106 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,8106 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 8106

List of positive integer factors of 8106 that divides 8106 without a remainder.

1,2,3,6,7,14,21,42,193,386,579,1158,1351,2702,4053,8106

Greatest Common Factor

We found the factors 798,8106 . The biggest common factor number is the GCF number.
So the greatest common factor 798,8106 is 42.

Lets's calculate LCM of 158,119

Given numbers has no common factors except 1. So, there LCM is their product i.e 18802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/18802

Therefore, the GCF of Fractions 798/158,8106/119 is 42/18802

Least Common Multiple of 158,119 with GCF Formula

Least Common Multiple of 158,119 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 158,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,119) = 1

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

GCF(158,119) x common factors =1 x 1 = 1

LCM(158,119) = ( 158 × 119 ) / 1

LCM(158,119) = 18802 / 1

LCM(158,119) = 18802


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 798/158, 8106/119

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 798/158, 8106/119?

Answer: GCF of Numerators as per given numbers 798/158, 8106/119 is

GCF of Numerators i.e. for 798,8106 is 42

LCM of denominators i.e. for 158,119 is 18802.

Thus, GCF of Fractions is 42/18802.Finally, GCF of Fractions for 798/158, 8106/119 is 42/18802.