Greatest Common Factor of 9842/37, 8176/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9842/37, 8176/410

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 9842/37,8176/410

Given fractions are 9842/37,8176/410

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 9842,8176

Greatest Common Factor of Numerators i.e. GCF of 9842,8176 is 14 .

LCM of Denominators means LCM of 37,410 as per the given fractions.

LCM of 37,410 is 15170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9842,8176

GCF of Fractions 9842/37,8176/410 is 14/15170

2 9842, 8176
7 4921, 4088
703, 584

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9842,8176 By Matching Biggest Common Factor Method

Greatest Common Factor of 9842,8176 By Matching Biggest Common Factor Method

Factors of 9842

List of positive integer factors of 9842 that divides 9842 without a remainder.

1,2,7,14,19,37,38,74,133,259,266,518,703,1406,4921,9842

Factors of 8176

List of positive integer factors of 8176 that divides 8176 without a remainder.

1,2,4,7,8,14,16,28,56,73,112,146,292,511,584,1022,1168,2044,4088,8176

Greatest Common Factor

We found the factors 9842,8176 . The biggest common factor number is the GCF number.
So the greatest common factor 9842,8176 is 14.

Lets's calculate LCM of 37,410

Given numbers has no common factors except 1. So, there LCM is their product i.e 15170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/15170

Therefore, the GCF of Fractions 9842/37,8176/410 is 14/15170

Least Common Multiple of 37,410 with GCF Formula

Least Common Multiple of 37,410 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 37,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,410) = 1

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

GCF(37,410) x common factors =1 x 1 = 1

LCM(37,410) = ( 37 × 410 ) / 1

LCM(37,410) = 15170 / 1

LCM(37,410) = 15170


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 9842/37, 8176/410

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 9842/37, 8176/410?

Answer: GCF of Numerators as per given numbers 9842/37, 8176/410 is

GCF of Numerators i.e. for 9842,8176 is 14

LCM of denominators i.e. for 37,410 is 15170.

Thus, GCF of Fractions is 14/15170.Finally, GCF of Fractions for 9842/37, 8176/410 is 14/15170.