Greatest Common Factor of 849/44, 550/42, 222/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 849/44, 550/42, 222/399

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 849/44,550/42,222/399

Given fractions are 849/44,550/42,222/399

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 849,550,222

Greatest Common Factor of Numerators i.e. GCF of 849,550,222 is 1 .

LCM of Denominators means LCM of 44,42,399 as per the given fractions.

LCM of 44,42,399 is 17556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 849,550,222

GCF of Fractions 849/44,550/42,222/399 is 1/17556

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

Greatest Common Factor of 849,550,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,550,222 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 849,550,222 . The biggest common factor number is the GCF number.
So the greatest common factor 849,550,222 is 1.

Lets's calculate LCM of 44,42,399

2 44, 42, 399
3 22, 21, 399
7 22, 7, 133
22, 1, 19

∴ So the LCM of the given numbers is 2 x 3 x 7 x 22 x 1 x 19 = 17556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17556

Therefore, the GCF of Fractions 849/44,550/42,222/399 is 1/17556

Least Common Multiple of 44,42,399 with GCF Formula

Least Common Multiple of 44,42,399 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 44,42,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,42,399) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(44,42,399) x common factors =1 x 42 = 42

LCM(44,42,399) = ( 44 × 42 × 399 ) / 42

LCM(44,42,399) = 737352 / 42

LCM(44,42,399) = 17556


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 849/44, 550/42, 222/399

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 849/44, 550/42, 222/399?

Answer: GCF of Numerators as per given numbers 849/44, 550/42, 222/399 is

GCF of Numerators i.e. for 849,550,222 is 1

LCM of denominators i.e. for 44,42,399 is 17556.

Thus, GCF of Fractions is 1/17556.Finally, GCF of Fractions for 849/44, 550/42, 222/399 is 1/17556.