Greatest Common Factor of 986/55, 798/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 986/55, 798/589

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 986/55,798/589

Given fractions are 986/55,798/589

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 986,798

Greatest Common Factor of Numerators i.e. GCF of 986,798 is 2 .

LCM of Denominators means LCM of 55,589 as per the given fractions.

LCM of 55,589 is 32395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 986,798

GCF of Fractions 986/55,798/589 is 2/32395

2 986, 798
493, 399

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

Greatest Common Factor of 986,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,798 By Matching Biggest Common Factor Method

Factors of 986

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

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

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

Greatest Common Factor

We found the factors 986,798 . The biggest common factor number is the GCF number.
So the greatest common factor 986,798 is 2.

Lets's calculate LCM of 55,589

Given numbers has no common factors except 1. So, there LCM is their product i.e 32395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32395

Therefore, the GCF of Fractions 986/55,798/589 is 2/32395

Least Common Multiple of 55,589 with GCF Formula

Least Common Multiple of 55,589 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 55,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,589) = 1

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

GCF(55,589) x common factors =1 x 1 = 1

LCM(55,589) = ( 55 × 589 ) / 1

LCM(55,589) = 32395 / 1

LCM(55,589) = 32395


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 986/55, 798/589

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 986/55, 798/589?

Answer: GCF of Numerators as per given numbers 986/55, 798/589 is

GCF of Numerators i.e. for 986,798 is 2

LCM of denominators i.e. for 55,589 is 32395.

Thus, GCF of Fractions is 2/32395.Finally, GCF of Fractions for 986/55, 798/589 is 2/32395.