Greatest Common Factor of 84/836, 812/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/836, 812/689

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 84/836,812/689

Given fractions are 84/836,812/689

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 84,812

Greatest Common Factor of Numerators i.e. GCF of 84,812 is 28 .

LCM of Denominators means LCM of 836,689 as per the given fractions.

LCM of 836,689 is 576004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,812

GCF of Fractions 84/836,812/689 is 28/576004

2 84, 812
2 42, 406
7 21, 203
3, 29

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 84,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,812 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 84,812 . The biggest common factor number is the GCF number.
So the greatest common factor 84,812 is 28.

Lets's calculate LCM of 836,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 576004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/576004

Therefore, the GCF of Fractions 84/836,812/689 is 28/576004

Least Common Multiple of 836,689 with GCF Formula

Least Common Multiple of 836,689 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 836,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,689) = 1

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

GCF(836,689) x common factors =1 x 1 = 1

LCM(836,689) = ( 836 × 689 ) / 1

LCM(836,689) = 576004 / 1

LCM(836,689) = 576004


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 84/836, 812/689

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 84/836, 812/689?

Answer: GCF of Numerators as per given numbers 84/836, 812/689 is

GCF of Numerators i.e. for 84,812 is 28

LCM of denominators i.e. for 836,689 is 576004.

Thus, GCF of Fractions is 28/576004.Finally, GCF of Fractions for 84/836, 812/689 is 28/576004.