Greatest Common Factor of 673/66, 345/83, 627/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/66, 345/83, 627/693

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 673/66,345/83,627/693

Given fractions are 673/66,345/83,627/693

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 673,345,627

Greatest Common Factor of Numerators i.e. GCF of 673,345,627 is 1 .

LCM of Denominators means LCM of 66,83,693 as per the given fractions.

LCM of 66,83,693 is 115038 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,345,627

GCF of Fractions 673/66,345/83,627/693 is 1/115038

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

Greatest Common Factor of 673,345,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,345,627 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 673,345,627 . The biggest common factor number is the GCF number.
So the greatest common factor 673,345,627 is 1.

Lets's calculate LCM of 66,83,693

3 66, 83, 693
11 22, 83, 231
2, 83, 21

∴ So the LCM of the given numbers is 3 x 11 x 2 x 83 x 21 = 115038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115038

Therefore, the GCF of Fractions 673/66,345/83,627/693 is 1/115038

Least Common Multiple of 66,83,693 with GCF Formula

Least Common Multiple of 66,83,693 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 66,83,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,83,693) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(66,83,693) x common factors =1 x 33 = 33

LCM(66,83,693) = ( 66 × 83 × 693 ) / 33

LCM(66,83,693) = 3796254 / 33

LCM(66,83,693) = 115038


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 673/66, 345/83, 627/693

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 673/66, 345/83, 627/693?

Answer: GCF of Numerators as per given numbers 673/66, 345/83, 627/693 is

GCF of Numerators i.e. for 673,345,627 is 1

LCM of denominators i.e. for 66,83,693 is 115038.

Thus, GCF of Fractions is 1/115038.Finally, GCF of Fractions for 673/66, 345/83, 627/693 is 1/115038.