Greatest Common Factor of 814/170, 636/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/170, 636/164

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 814/170,636/164

Given fractions are 814/170,636/164

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 814,636

Greatest Common Factor of Numerators i.e. GCF of 814,636 is 2 .

LCM of Denominators means LCM of 170,164 as per the given fractions.

LCM of 170,164 is 13940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,636

GCF of Fractions 814/170,636/164 is 2/13940

2 814, 636
407, 318

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 814,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,636 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 814,636 . The biggest common factor number is the GCF number.
So the greatest common factor 814,636 is 2.

Lets's calculate LCM of 170,164

2 170, 164
85, 82

∴ So the LCM of the given numbers is 2 x 85 x 82 = 13940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13940

Therefore, the GCF of Fractions 814/170,636/164 is 2/13940

Least Common Multiple of 170,164 with GCF Formula

Least Common Multiple of 170,164 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 170,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,164) = 2

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

GCF(170,164) x common factors =2 x 1 = 2

LCM(170,164) = ( 170 × 164 ) / 2

LCM(170,164) = 27880 / 2

LCM(170,164) = 13940


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 814/170, 636/164

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 814/170, 636/164?

Answer: GCF of Numerators as per given numbers 814/170, 636/164 is

GCF of Numerators i.e. for 814,636 is 2

LCM of denominators i.e. for 170,164 is 13940.

Thus, GCF of Fractions is 2/13940.Finally, GCF of Fractions for 814/170, 636/164 is 2/13940.