Greatest Common Factor of 690/443, 6975/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/443, 6975/421

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 690/443,6975/421

Given fractions are 690/443,6975/421

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 690,6975

Greatest Common Factor of Numerators i.e. GCF of 690,6975 is 15 .

LCM of Denominators means LCM of 443,421 as per the given fractions.

LCM of 443,421 is 186503 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,6975

GCF of Fractions 690/443,6975/421 is 15/186503

3 690, 6975
5 230, 2325
46, 465

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 690,6975 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,6975 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 6975

List of positive integer factors of 6975 that divides 6975 without a remainder.

1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975

Greatest Common Factor

We found the factors 690,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 690,6975 is 15.

Lets's calculate LCM of 443,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 186503

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/186503

Therefore, the GCF of Fractions 690/443,6975/421 is 15/186503

Least Common Multiple of 443,421 with GCF Formula

Least Common Multiple of 443,421 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 443,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,421) = 1

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

GCF(443,421) x common factors =1 x 1 = 1

LCM(443,421) = ( 443 × 421 ) / 1

LCM(443,421) = 186503 / 1

LCM(443,421) = 186503


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 690/443, 6975/421

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 690/443, 6975/421?

Answer: GCF of Numerators as per given numbers 690/443, 6975/421 is

GCF of Numerators i.e. for 690,6975 is 15

LCM of denominators i.e. for 443,421 is 186503.

Thus, GCF of Fractions is 15/186503.Finally, GCF of Fractions for 690/443, 6975/421 is 15/186503.