Greatest Common Factor of 462/51, 1209/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 462/51, 1209/164

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 462/51,1209/164

Given fractions are 462/51,1209/164

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 462,1209

Greatest Common Factor of Numerators i.e. GCF of 462,1209 is 3 .

LCM of Denominators means LCM of 51,164 as per the given fractions.

LCM of 51,164 is 8364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 462,1209

GCF of Fractions 462/51,1209/164 is 3/8364

3 462, 1209
154, 403

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

Greatest Common Factor of 462,1209 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,1209 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 1209

List of positive integer factors of 1209 that divides 1209 without a remainder.

1,3,13,31,39,93,403,1209

Greatest Common Factor

We found the factors 462,1209 . The biggest common factor number is the GCF number.
So the greatest common factor 462,1209 is 3.

Lets's calculate LCM of 51,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 8364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8364

Therefore, the GCF of Fractions 462/51,1209/164 is 3/8364

Least Common Multiple of 51,164 with GCF Formula

Least Common Multiple of 51,164 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 51,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,164) = 1

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

GCF(51,164) x common factors =1 x 1 = 1

LCM(51,164) = ( 51 × 164 ) / 1

LCM(51,164) = 8364 / 1

LCM(51,164) = 8364


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 462/51, 1209/164

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 462/51, 1209/164?

Answer: GCF of Numerators as per given numbers 462/51, 1209/164 is

GCF of Numerators i.e. for 462,1209 is 3

LCM of denominators i.e. for 51,164 is 8364.

Thus, GCF of Fractions is 3/8364.Finally, GCF of Fractions for 462/51, 1209/164 is 3/8364.