Greatest Common Factor of 433/65, 880/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 433/65, 880/226

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 433/65,880/226

Given fractions are 433/65,880/226

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 433,880

Greatest Common Factor of Numerators i.e. GCF of 433,880 is 1 .

LCM of Denominators means LCM of 65,226 as per the given fractions.

LCM of 65,226 is 14690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,880

GCF of Fractions 433/65,880/226 is 1/14690

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

Greatest Common Factor of 433,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,880 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 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 433,880 . The biggest common factor number is the GCF number.
So the greatest common factor 433,880 is 1.


Lets's calculate LCM of 65,226

Given numbers has no common factors except 1. So, there LCM is their product i.e 14690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14690

Therefore, the GCF of Fractions 433/65,880/226 is 1/14690

Least Common Multiple of 65,226 with GCF Formula

Least Common Multiple of 65,226 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 65,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,226) = 1

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

GCF(65,226) x common factors =1 x 1 = 1

LCM(65,226) = ( 65 × 226 ) / 1

LCM(65,226) = 14690 / 1

LCM(65,226) = 14690


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 433/65, 880/226

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 433/65, 880/226?

Answer: GCF of Numerators as per given numbers 433/65, 880/226 is

GCF of Numerators i.e. for 433,880 is 1

LCM of denominators i.e. for 65,226 is 14690.

Thus, GCF of Fractions is 1/14690.Finally, GCF of Fractions for 433/65, 880/226 is 1/14690.