Greatest Common Factor of 9982/343, 1854/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9982/343, 1854/390

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 9982/343,1854/390

Given fractions are 9982/343,1854/390

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 9982,1854

Greatest Common Factor of Numerators i.e. GCF of 9982,1854 is 2 .

LCM of Denominators means LCM of 343,390 as per the given fractions.

LCM of 343,390 is 133770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9982,1854

GCF of Fractions 9982/343,1854/390 is 2/133770

2 9982, 1854
4991, 927

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

Greatest Common Factor of 9982,1854 By Matching Biggest Common Factor Method

Greatest Common Factor of 9982,1854 By Matching Biggest Common Factor Method

Factors of 9982

List of positive integer factors of 9982 that divides 9982 without a remainder.

1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982

Factors of 1854

List of positive integer factors of 1854 that divides 1854 without a remainder.

1,2,3,6,9,18,103,206,309,618,927,1854

Greatest Common Factor

We found the factors 9982,1854 . The biggest common factor number is the GCF number.
So the greatest common factor 9982,1854 is 2.

Lets's calculate LCM of 343,390

Given numbers has no common factors except 1. So, there LCM is their product i.e 133770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133770

Therefore, the GCF of Fractions 9982/343,1854/390 is 2/133770

Least Common Multiple of 343,390 with GCF Formula

Least Common Multiple of 343,390 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 343,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,390) = 1

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

GCF(343,390) x common factors =1 x 1 = 1

LCM(343,390) = ( 343 × 390 ) / 1

LCM(343,390) = 133770 / 1

LCM(343,390) = 133770


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 9982/343, 1854/390

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 9982/343, 1854/390?

Answer: GCF of Numerators as per given numbers 9982/343, 1854/390 is

GCF of Numerators i.e. for 9982,1854 is 2

LCM of denominators i.e. for 343,390 is 133770.

Thus, GCF of Fractions is 2/133770.Finally, GCF of Fractions for 9982/343, 1854/390 is 2/133770.