Greatest Common Factor of 447/85, 278/41, 433/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 447/85, 278/41, 433/900

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 447/85,278/41,433/900

Given fractions are 447/85,278/41,433/900

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 447,278,433

Greatest Common Factor of Numerators i.e. GCF of 447,278,433 is 1 .

LCM of Denominators means LCM of 85,41,900 as per the given fractions.

LCM of 85,41,900 is 627300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 447,278,433

GCF of Fractions 447/85,278/41,433/900 is 1/627300

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

Greatest Common Factor of 447,278,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,278,433 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 447,278,433 . The biggest common factor number is the GCF number.
So the greatest common factor 447,278,433 is 1.

Lets's calculate LCM of 85,41,900

5 85, 41, 900
17, 41, 180

∴ So the LCM of the given numbers is 5 x 17 x 41 x 180 = 627300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/627300

Therefore, the GCF of Fractions 447/85,278/41,433/900 is 1/627300

Least Common Multiple of 85,41,900 with GCF Formula

Least Common Multiple of 85,41,900 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 85,41,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,41,900) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,41,900) x common factors =1 x 5 = 5

LCM(85,41,900) = ( 85 × 41 × 900 ) / 5

LCM(85,41,900) = 3136500 / 5

LCM(85,41,900) = 627300


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 447/85, 278/41, 433/900

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 447/85, 278/41, 433/900?

Answer: GCF of Numerators as per given numbers 447/85, 278/41, 433/900 is

GCF of Numerators i.e. for 447,278,433 is 1

LCM of denominators i.e. for 85,41,900 is 627300.

Thus, GCF of Fractions is 1/627300.Finally, GCF of Fractions for 447/85, 278/41, 433/900 is 1/627300.