Greatest Common Factor of 1446/234, 6997/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1446/234, 6997/443

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 1446/234,6997/443

Given fractions are 1446/234,6997/443

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 1446,6997

Greatest Common Factor of Numerators i.e. GCF of 1446,6997 is 1 .

LCM of Denominators means LCM of 234,443 as per the given fractions.

LCM of 234,443 is 103662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1446,6997

GCF of Fractions 1446/234,6997/443 is 1/103662

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

Greatest Common Factor of 1446,6997 By Matching Biggest Common Factor Method

Greatest Common Factor of 1446,6997 By Matching Biggest Common Factor Method

Factors of 1446

List of positive integer factors of 1446 that divides 1446 without a remainder.

1,2,3,6,241,482,723,1446

Factors of 6997

List of positive integer factors of 6997 that divides 6997 without a remainder.

1,6997

Greatest Common Factor

We found the factors 1446,6997 . The biggest common factor number is the GCF number.
So the greatest common factor 1446,6997 is 1.

Lets's calculate LCM of 234,443

Given numbers has no common factors except 1. So, there LCM is their product i.e 103662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103662

Therefore, the GCF of Fractions 1446/234,6997/443 is 1/103662

Least Common Multiple of 234,443 with GCF Formula

Least Common Multiple of 234,443 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 234,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,443) = 1

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

GCF(234,443) x common factors =1 x 1 = 1

LCM(234,443) = ( 234 × 443 ) / 1

LCM(234,443) = 103662 / 1

LCM(234,443) = 103662


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 1446/234, 6997/443

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 1446/234, 6997/443?

Answer: GCF of Numerators as per given numbers 1446/234, 6997/443 is

GCF of Numerators i.e. for 1446,6997 is 1

LCM of denominators i.e. for 234,443 is 103662.

Thus, GCF of Fractions is 1/103662.Finally, GCF of Fractions for 1446/234, 6997/443 is 1/103662.