Greatest Common Factor of 984/7005, 162/1868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 984/7005, 162/1868

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 984/7005,162/1868

Given fractions are 984/7005,162/1868

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 984,162

Greatest Common Factor of Numerators i.e. GCF of 984,162 is 6 .

LCM of Denominators means LCM of 7005,1868 as per the given fractions.

LCM of 7005,1868 is 28020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 984,162

GCF of Fractions 984/7005,162/1868 is 6/28020

2 984, 162
3 492, 81
164, 27

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 984,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,162 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 984,162 . The biggest common factor number is the GCF number.
So the greatest common factor 984,162 is 6.

Lets's calculate LCM of 7005,1868

467 7005, 1868
15, 4

∴ So the LCM of the given numbers is 467 x 15 x 4 = 28020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/28020

Therefore, the GCF of Fractions 984/7005,162/1868 is 6/28020

Least Common Multiple of 7005,1868 with GCF Formula

Least Common Multiple of 7005,1868 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 7005,1868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7005,1868) = 467

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

GCF(7005,1868) x common factors =467 x 1 = 467

LCM(7005,1868) = ( 7005 × 1868 ) / 467

LCM(7005,1868) = 13085340 / 467

LCM(7005,1868) = 28020


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 984/7005, 162/1868

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 984/7005, 162/1868?

Answer: GCF of Numerators as per given numbers 984/7005, 162/1868 is

GCF of Numerators i.e. for 984,162 is 6

LCM of denominators i.e. for 7005,1868 is 28020.

Thus, GCF of Fractions is 6/28020.Finally, GCF of Fractions for 984/7005, 162/1868 is 6/28020.