Greatest Common Factor of 850/90, 441/63, 842/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/90, 441/63, 842/198

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 850/90,441/63,842/198

Given fractions are 850/90,441/63,842/198

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 850,441,842

Greatest Common Factor of Numerators i.e. GCF of 850,441,842 is 1 .

LCM of Denominators means LCM of 90,63,198 as per the given fractions.

LCM of 90,63,198 is 6930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,441,842

GCF of Fractions 850/90,441/63,842/198 is 1/6930

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

Greatest Common Factor of 850,441,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,441,842 By Matching Biggest Common Factor Method

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

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 850,441,842 . The biggest common factor number is the GCF number.
So the greatest common factor 850,441,842 is 1.

Lets's calculate LCM of 90,63,198

2 90, 63, 198
3 45, 63, 99
3 15, 21, 33
5, 7, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 11 = 6930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6930

Therefore, the GCF of Fractions 850/90,441/63,842/198 is 1/6930

Least Common Multiple of 90,63,198 with GCF Formula

Least Common Multiple of 90,63,198 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 90,63,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,63,198) = 9

common factors(in case of two or more numbers have common factors) = 18

GCF(90,63,198) x common factors =9 x 18 = 162

LCM(90,63,198) = ( 90 × 63 × 198 ) / 162

LCM(90,63,198) = 1122660 / 162

LCM(90,63,198) = 6930


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 850/90, 441/63, 842/198

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 850/90, 441/63, 842/198?

Answer: GCF of Numerators as per given numbers 850/90, 441/63, 842/198 is

GCF of Numerators i.e. for 850,441,842 is 1

LCM of denominators i.e. for 90,63,198 is 6930.

Thus, GCF of Fractions is 1/6930.Finally, GCF of Fractions for 850/90, 441/63, 842/198 is 1/6930.