Greatest Common Factor of 8172/511, 9816/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8172/511, 9816/290

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 8172/511,9816/290

Given fractions are 8172/511,9816/290

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 8172,9816

Greatest Common Factor of Numerators i.e. GCF of 8172,9816 is 12 .

LCM of Denominators means LCM of 511,290 as per the given fractions.

LCM of 511,290 is 148190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8172,9816

GCF of Fractions 8172/511,9816/290 is 12/148190

2 8172, 9816
2 4086, 4908
3 2043, 2454
681, 818

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 8172,9816 By Matching Biggest Common Factor Method

Greatest Common Factor of 8172,9816 By Matching Biggest Common Factor Method

Factors of 8172

List of positive integer factors of 8172 that divides 8172 without a remainder.

1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172

Factors of 9816

List of positive integer factors of 9816 that divides 9816 without a remainder.

1,2,3,4,6,8,12,24,409,818,1227,1636,2454,3272,4908,9816

Greatest Common Factor

We found the factors 8172,9816 . The biggest common factor number is the GCF number.
So the greatest common factor 8172,9816 is 12.

Lets's calculate LCM of 511,290

Given numbers has no common factors except 1. So, there LCM is their product i.e 148190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/148190

Therefore, the GCF of Fractions 8172/511,9816/290 is 12/148190

Least Common Multiple of 511,290 with GCF Formula

Least Common Multiple of 511,290 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 511,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,290) = 1

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

GCF(511,290) x common factors =1 x 1 = 1

LCM(511,290) = ( 511 × 290 ) / 1

LCM(511,290) = 148190 / 1

LCM(511,290) = 148190


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 8172/511, 9816/290

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 8172/511, 9816/290?

Answer: GCF of Numerators as per given numbers 8172/511, 9816/290 is

GCF of Numerators i.e. for 8172,9816 is 12

LCM of denominators i.e. for 511,290 is 148190.

Thus, GCF of Fractions is 12/148190.Finally, GCF of Fractions for 8172/511, 9816/290 is 12/148190.