Greatest Common Factor of 850/60, 394/74, 273/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/60, 394/74, 273/804

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 850/60,394/74,273/804

Given fractions are 850/60,394/74,273/804

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 850,394,273

Greatest Common Factor of Numerators i.e. GCF of 850,394,273 is 1 .

LCM of Denominators means LCM of 60,74,804 as per the given fractions.

LCM of 60,74,804 is 148740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,394,273

GCF of Fractions 850/60,394/74,273/804 is 1/148740

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

Greatest Common Factor of 850,394,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,394,273 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 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 850,394,273 . The biggest common factor number is the GCF number.
So the greatest common factor 850,394,273 is 1.

Lets's calculate LCM of 60,74,804

2 60, 74, 804
2 30, 37, 402
3 15, 37, 201
5, 37, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 37 x 67 = 148740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148740

Therefore, the GCF of Fractions 850/60,394/74,273/804 is 1/148740

Least Common Multiple of 60,74,804 with GCF Formula

Least Common Multiple of 60,74,804 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 60,74,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,74,804) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(60,74,804) x common factors =2 x 12 = 24

LCM(60,74,804) = ( 60 × 74 × 804 ) / 24

LCM(60,74,804) = 3569760 / 24

LCM(60,74,804) = 148740


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 850/60, 394/74, 273/804

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 850/60, 394/74, 273/804?

Answer: GCF of Numerators as per given numbers 850/60, 394/74, 273/804 is

GCF of Numerators i.e. for 850,394,273 is 1

LCM of denominators i.e. for 60,74,804 is 148740.

Thus, GCF of Fractions is 1/148740.Finally, GCF of Fractions for 850/60, 394/74, 273/804 is 1/148740.