Greatest Common Factor of 430/73, 800/5555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/73, 800/5555

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 430/73,800/5555

Given fractions are 430/73,800/5555

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 430,800

Greatest Common Factor of Numerators i.e. GCF of 430,800 is 10 .

LCM of Denominators means LCM of 73,5555 as per the given fractions.

LCM of 73,5555 is 405515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,800

GCF of Fractions 430/73,800/5555 is 10/405515

2 430, 800
5 215, 400
43, 80

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 430,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,800 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 430,800 . The biggest common factor number is the GCF number.
So the greatest common factor 430,800 is 10.

Lets's calculate LCM of 73,5555

Given numbers has no common factors except 1. So, there LCM is their product i.e 405515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/405515

Therefore, the GCF of Fractions 430/73,800/5555 is 10/405515

Least Common Multiple of 73,5555 with GCF Formula

Least Common Multiple of 73,5555 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 73,5555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,5555) = 1

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

GCF(73,5555) x common factors =1 x 1 = 1

LCM(73,5555) = ( 73 × 5555 ) / 1

LCM(73,5555) = 405515 / 1

LCM(73,5555) = 405515


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 430/73, 800/5555

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 430/73, 800/5555?

Answer: GCF of Numerators as per given numbers 430/73, 800/5555 is

GCF of Numerators i.e. for 430,800 is 10

LCM of denominators i.e. for 73,5555 is 405515.

Thus, GCF of Fractions is 10/405515.Finally, GCF of Fractions for 430/73, 800/5555 is 10/405515.