Greatest Common Factor of 1020/93, 8697/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1020/93, 8697/162

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 1020/93,8697/162

Given fractions are 1020/93,8697/162

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 1020,8697

Greatest Common Factor of Numerators i.e. GCF of 1020,8697 is 3 .

LCM of Denominators means LCM of 93,162 as per the given fractions.

LCM of 93,162 is 5022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1020,8697

GCF of Fractions 1020/93,8697/162 is 3/5022

3 1020, 8697
340, 2899

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1020,8697 By Matching Biggest Common Factor Method

Greatest Common Factor of 1020,8697 By Matching Biggest Common Factor Method

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020

Factors of 8697

List of positive integer factors of 8697 that divides 8697 without a remainder.

1,3,13,39,223,669,2899,8697

Greatest Common Factor

We found the factors 1020,8697 . The biggest common factor number is the GCF number.
So the greatest common factor 1020,8697 is 3.

Lets's calculate LCM of 93,162

3 93, 162
31, 54

∴ So the LCM of the given numbers is 3 x 31 x 54 = 5022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5022

Therefore, the GCF of Fractions 1020/93,8697/162 is 3/5022

Least Common Multiple of 93,162 with GCF Formula

Least Common Multiple of 93,162 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 93,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,162) = 3

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

GCF(93,162) x common factors =3 x 1 = 3

LCM(93,162) = ( 93 × 162 ) / 3

LCM(93,162) = 15066 / 3

LCM(93,162) = 5022


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 1020/93, 8697/162

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 1020/93, 8697/162?

Answer: GCF of Numerators as per given numbers 1020/93, 8697/162 is

GCF of Numerators i.e. for 1020,8697 is 3

LCM of denominators i.e. for 93,162 is 5022.

Thus, GCF of Fractions is 3/5022.Finally, GCF of Fractions for 1020/93, 8697/162 is 3/5022.