Greatest Common Factor of 9985/34, 4962/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9985/34, 4962/868

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 9985/34,4962/868

Given fractions are 9985/34,4962/868

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 9985,4962

Greatest Common Factor of Numerators i.e. GCF of 9985,4962 is 1 .

LCM of Denominators means LCM of 34,868 as per the given fractions.

LCM of 34,868 is 14756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9985,4962

GCF of Fractions 9985/34,4962/868 is 1/14756

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

Greatest Common Factor of 9985,4962 By Matching Biggest Common Factor Method

Greatest Common Factor of 9985,4962 By Matching Biggest Common Factor Method

Factors of 9985

List of positive integer factors of 9985 that divides 9985 without a remainder.

1,5,1997,9985

Factors of 4962

List of positive integer factors of 4962 that divides 4962 without a remainder.

1,2,3,6,827,1654,2481,4962

Greatest Common Factor

We found the factors 9985,4962 . The biggest common factor number is the GCF number.
So the greatest common factor 9985,4962 is 1.

Lets's calculate LCM of 34,868

2 34, 868
17, 434

∴ So the LCM of the given numbers is 2 x 17 x 434 = 14756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14756

Therefore, the GCF of Fractions 9985/34,4962/868 is 1/14756

Least Common Multiple of 34,868 with GCF Formula

Least Common Multiple of 34,868 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 34,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,868) = 2

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

GCF(34,868) x common factors =2 x 1 = 2

LCM(34,868) = ( 34 × 868 ) / 2

LCM(34,868) = 29512 / 2

LCM(34,868) = 14756


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 9985/34, 4962/868

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 9985/34, 4962/868?

Answer: GCF of Numerators as per given numbers 9985/34, 4962/868 is

GCF of Numerators i.e. for 9985,4962 is 1

LCM of denominators i.e. for 34,868 is 14756.

Thus, GCF of Fractions is 1/14756.Finally, GCF of Fractions for 9985/34, 4962/868 is 1/14756.