Greatest Common Factor of 9958/836, 1985/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9958/836, 1985/678

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 9958/836,1985/678

Given fractions are 9958/836,1985/678

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 9958,1985

Greatest Common Factor of Numerators i.e. GCF of 9958,1985 is 1 .

LCM of Denominators means LCM of 836,678 as per the given fractions.

LCM of 836,678 is 283404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9958,1985

GCF of Fractions 9958/836,1985/678 is 1/283404

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9958,1985 By Matching Biggest Common Factor Method

Greatest Common Factor of 9958,1985 By Matching Biggest Common Factor Method

Factors of 9958

List of positive integer factors of 9958 that divides 9958 without a remainder.

1,2,13,26,383,766,4979,9958

Factors of 1985

List of positive integer factors of 1985 that divides 1985 without a remainder.

1,5,397,1985

Greatest Common Factor

We found the factors 9958,1985 . The biggest common factor number is the GCF number.
So the greatest common factor 9958,1985 is 1.

Lets's calculate LCM of 836,678

2 836, 678
418, 339

∴ So the LCM of the given numbers is 2 x 418 x 339 = 283404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283404

Therefore, the GCF of Fractions 9958/836,1985/678 is 1/283404

Least Common Multiple of 836,678 with GCF Formula

Least Common Multiple of 836,678 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 836,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,678) = 2

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

GCF(836,678) x common factors =2 x 1 = 2

LCM(836,678) = ( 836 × 678 ) / 2

LCM(836,678) = 566808 / 2

LCM(836,678) = 283404


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 9958/836, 1985/678

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 9958/836, 1985/678?

Answer: GCF of Numerators as per given numbers 9958/836, 1985/678 is

GCF of Numerators i.e. for 9958,1985 is 1

LCM of denominators i.e. for 836,678 is 283404.

Thus, GCF of Fractions is 1/283404.Finally, GCF of Fractions for 9958/836, 1985/678 is 1/283404.