Greatest Common Factor of 441/1724, 430/6007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 441/1724, 430/6007

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 441/1724,430/6007

Given fractions are 441/1724,430/6007

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 441,430

Greatest Common Factor of Numerators i.e. GCF of 441,430 is 1 .

LCM of Denominators means LCM of 1724,6007 as per the given fractions.

LCM of 1724,6007 is 10356068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 441,430

GCF of Fractions 441/1724,430/6007 is 1/10356068

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

Greatest Common Factor of 441,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,430 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 430

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

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

Greatest Common Factor

We found the factors 441,430 . The biggest common factor number is the GCF number.
So the greatest common factor 441,430 is 1.

Lets's calculate LCM of 1724,6007

Given numbers has no common factors except 1. So, there LCM is their product i.e 10356068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10356068

Therefore, the GCF of Fractions 441/1724,430/6007 is 1/10356068

Least Common Multiple of 1724,6007 with GCF Formula

Least Common Multiple of 1724,6007 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 1724,6007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1724,6007) = 1

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

GCF(1724,6007) x common factors =1 x 1 = 1

LCM(1724,6007) = ( 1724 × 6007 ) / 1

LCM(1724,6007) = 10356068 / 1

LCM(1724,6007) = 10356068


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 441/1724, 430/6007

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 441/1724, 430/6007?

Answer: GCF of Numerators as per given numbers 441/1724, 430/6007 is

GCF of Numerators i.e. for 441,430 is 1

LCM of denominators i.e. for 1724,6007 is 10356068.

Thus, GCF of Fractions is 1/10356068.Finally, GCF of Fractions for 441/1724, 430/6007 is 1/10356068.