Greatest Common Factor of 986/302, 289/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 986/302, 289/922

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 986/302,289/922

Given fractions are 986/302,289/922

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 986,289

Greatest Common Factor of Numerators i.e. GCF of 986,289 is 17 .

LCM of Denominators means LCM of 302,922 as per the given fractions.

LCM of 302,922 is 139222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 986,289

GCF of Fractions 986/302,289/922 is 17/139222

17 986, 289
58, 17

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 986,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,289 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 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 986,289 . The biggest common factor number is the GCF number.
So the greatest common factor 986,289 is 17.

Lets's calculate LCM of 302,922

2 302, 922
151, 461

∴ So the LCM of the given numbers is 2 x 151 x 461 = 139222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/139222

Therefore, the GCF of Fractions 986/302,289/922 is 17/139222

Least Common Multiple of 302,922 with GCF Formula

Least Common Multiple of 302,922 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 302,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,922) = 2

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

GCF(302,922) x common factors =2 x 1 = 2

LCM(302,922) = ( 302 × 922 ) / 2

LCM(302,922) = 278444 / 2

LCM(302,922) = 139222


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 986/302, 289/922

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 986/302, 289/922?

Answer: GCF of Numerators as per given numbers 986/302, 289/922 is

GCF of Numerators i.e. for 986,289 is 17

LCM of denominators i.e. for 302,922 is 139222.

Thus, GCF of Fractions is 17/139222.Finally, GCF of Fractions for 986/302, 289/922 is 17/139222.