Greatest Common Factor of 70/198, 92/845, 986/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/198, 92/845, 986/883

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 70/198,92/845,986/883

Given fractions are 70/198,92/845,986/883

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 70,92,986

Greatest Common Factor of Numerators i.e. GCF of 70,92,986 is 2 .

LCM of Denominators means LCM of 198,845,883 as per the given fractions.

LCM of 198,845,883 is 147734730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,92,986

GCF of Fractions 70/198,92/845,986/883 is 2/147734730

2 70, 92, 986
35, 46, 493

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 70,92,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,92,986 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 70,92,986 . The biggest common factor number is the GCF number.
So the greatest common factor 70,92,986 is 2.

Lets's calculate LCM of 198,845,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 147734730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/147734730

Therefore, the GCF of Fractions 70/198,92/845,986/883 is 2/147734730

Least Common Multiple of 198,845,883 with GCF Formula

Least Common Multiple of 198,845,883 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 198,845,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,845,883) = 1

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

GCF(198,845,883) x common factors =1 x 1 = 1

LCM(198,845,883) = ( 198 × 845 × 883 ) / 1

LCM(198,845,883) = 147734730 / 1

LCM(198,845,883) = 147734730


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 70/198, 92/845, 986/883

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 70/198, 92/845, 986/883?

Answer: GCF of Numerators as per given numbers 70/198, 92/845, 986/883 is

GCF of Numerators i.e. for 70,92,986 is 2

LCM of denominators i.e. for 198,845,883 is 147734730.

Thus, GCF of Fractions is 2/147734730.Finally, GCF of Fractions for 70/198, 92/845, 986/883 is 2/147734730.