Greatest Common Factor of 433/80, 834/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 433/80, 834/296

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 433/80,834/296

Given fractions are 433/80,834/296

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 433,834

Greatest Common Factor of Numerators i.e. GCF of 433,834 is 1 .

LCM of Denominators means LCM of 80,296 as per the given fractions.

LCM of 80,296 is 2960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,834

GCF of Fractions 433/80,834/296 is 1/2960

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

Greatest Common Factor of 433,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,834 By Matching Biggest Common Factor Method

Factors of 433

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

1,433

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 433,834 . The biggest common factor number is the GCF number.
So the greatest common factor 433,834 is 1.

Lets's calculate LCM of 80,296

2 80, 296
2 40, 148
2 20, 74
10, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 37 = 2960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2960

Therefore, the GCF of Fractions 433/80,834/296 is 1/2960

Least Common Multiple of 80,296 with GCF Formula

Least Common Multiple of 80,296 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 80,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,296) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(80,296) x common factors =8 x 1 = 8

LCM(80,296) = ( 80 × 296 ) / 8

LCM(80,296) = 23680 / 8

LCM(80,296) = 2960


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 433/80, 834/296

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 433/80, 834/296?

Answer: GCF of Numerators as per given numbers 433/80, 834/296 is

GCF of Numerators i.e. for 433,834 is 1

LCM of denominators i.e. for 80,296 is 2960.

Thus, GCF of Fractions is 1/2960.Finally, GCF of Fractions for 433/80, 834/296 is 1/2960.