Greatest Common Factor of 9854/62, 8142/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9854/62, 8142/416

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 9854/62,8142/416

Given fractions are 9854/62,8142/416

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 9854,8142

Greatest Common Factor of Numerators i.e. GCF of 9854,8142 is 2 .

LCM of Denominators means LCM of 62,416 as per the given fractions.

LCM of 62,416 is 12896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9854,8142

GCF of Fractions 9854/62,8142/416 is 2/12896

2 9854, 8142
4927, 4071

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

Greatest Common Factor of 9854,8142 By Matching Biggest Common Factor Method

Greatest Common Factor of 9854,8142 By Matching Biggest Common Factor Method

Factors of 9854

List of positive integer factors of 9854 that divides 9854 without a remainder.

1,2,13,26,379,758,4927,9854

Factors of 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors 9854,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 9854,8142 is 2.

Lets's calculate LCM of 62,416

2 62, 416
31, 208

∴ So the LCM of the given numbers is 2 x 31 x 208 = 12896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12896

Therefore, the GCF of Fractions 9854/62,8142/416 is 2/12896

Least Common Multiple of 62,416 with GCF Formula

Least Common Multiple of 62,416 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 62,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,416) = 2

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

GCF(62,416) x common factors =2 x 1 = 2

LCM(62,416) = ( 62 × 416 ) / 2

LCM(62,416) = 25792 / 2

LCM(62,416) = 12896


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 9854/62, 8142/416

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 9854/62, 8142/416?

Answer: GCF of Numerators as per given numbers 9854/62, 8142/416 is

GCF of Numerators i.e. for 9854,8142 is 2

LCM of denominators i.e. for 62,416 is 12896.

Thus, GCF of Fractions is 2/12896.Finally, GCF of Fractions for 9854/62, 8142/416 is 2/12896.