Greatest Common Factor of 51/29, 823/32, 850/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/29, 823/32, 850/212

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 51/29,823/32,850/212

Given fractions are 51/29,823/32,850/212

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 51,823,850

Greatest Common Factor of Numerators i.e. GCF of 51,823,850 is 1 .

LCM of Denominators means LCM of 29,32,212 as per the given fractions.

LCM of 29,32,212 is 49184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,823,850

GCF of Fractions 51/29,823/32,850/212 is 1/49184

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 51,823,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,823,850 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 51,823,850 . The biggest common factor number is the GCF number.
So the greatest common factor 51,823,850 is 1.

Lets's calculate LCM of 29,32,212

2 29, 32, 212
2 29, 16, 106
29, 8, 53

∴ So the LCM of the given numbers is 2 x 2 x 29 x 8 x 53 = 49184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49184

Therefore, the GCF of Fractions 51/29,823/32,850/212 is 1/49184

Least Common Multiple of 29,32,212 with GCF Formula

Least Common Multiple of 29,32,212 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 29,32,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,32,212) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(29,32,212) x common factors =1 x 4 = 4

LCM(29,32,212) = ( 29 × 32 × 212 ) / 4

LCM(29,32,212) = 196736 / 4

LCM(29,32,212) = 49184


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 51/29, 823/32, 850/212

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 51/29, 823/32, 850/212?

Answer: GCF of Numerators as per given numbers 51/29, 823/32, 850/212 is

GCF of Numerators i.e. for 51,823,850 is 1

LCM of denominators i.e. for 29,32,212 is 49184.

Thus, GCF of Fractions is 1/49184.Finally, GCF of Fractions for 51/29, 823/32, 850/212 is 1/49184.