Greatest Common Factor of 8162/618, 1722/8857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8162/618, 1722/8857

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 8162/618,1722/8857

Given fractions are 8162/618,1722/8857

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 8162,1722

Greatest Common Factor of Numerators i.e. GCF of 8162,1722 is 14 .

LCM of Denominators means LCM of 618,8857 as per the given fractions.

LCM of 618,8857 is 5473626 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8162,1722

GCF of Fractions 8162/618,1722/8857 is 14/5473626

2 8162, 1722
7 4081, 861
583, 123

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

Greatest Common Factor of 8162,1722 By Matching Biggest Common Factor Method

Greatest Common Factor of 8162,1722 By Matching Biggest Common Factor Method

Factors of 8162

List of positive integer factors of 8162 that divides 8162 without a remainder.

1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162

Factors of 1722

List of positive integer factors of 1722 that divides 1722 without a remainder.

1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722

Greatest Common Factor

We found the factors 8162,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 8162,1722 is 14.

Lets's calculate LCM of 618,8857

Given numbers has no common factors except 1. So, there LCM is their product i.e 5473626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/5473626

Therefore, the GCF of Fractions 8162/618,1722/8857 is 14/5473626

Least Common Multiple of 618,8857 with GCF Formula

Least Common Multiple of 618,8857 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 618,8857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,8857) = 1

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

GCF(618,8857) x common factors =1 x 1 = 1

LCM(618,8857) = ( 618 × 8857 ) / 1

LCM(618,8857) = 5473626 / 1

LCM(618,8857) = 5473626


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 8162/618, 1722/8857

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 8162/618, 1722/8857?

Answer: GCF of Numerators as per given numbers 8162/618, 1722/8857 is

GCF of Numerators i.e. for 8162,1722 is 14

LCM of denominators i.e. for 618,8857 is 5473626.

Thus, GCF of Fractions is 14/5473626.Finally, GCF of Fractions for 8162/618, 1722/8857 is 14/5473626.