Greatest Common Factor of 693/21, 352/43, 380/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 693/21, 352/43, 380/37

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 693/21,352/43,380/37

Given fractions are 693/21,352/43,380/37

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 693,352,380

Greatest Common Factor of Numerators i.e. GCF of 693,352,380 is 1 .

LCM of Denominators means LCM of 21,43,37 as per the given fractions.

LCM of 21,43,37 is 33411 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 693,352,380

GCF of Fractions 693/21,352/43,380/37 is 1/33411

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

Greatest Common Factor of 693,352,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,352,380 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 693,352,380 . The biggest common factor number is the GCF number.
So the greatest common factor 693,352,380 is 1.

Lets's calculate LCM of 21,43,37

Given numbers has no common factors except 1. So, there LCM is their product i.e 33411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33411

Therefore, the GCF of Fractions 693/21,352/43,380/37 is 1/33411

Least Common Multiple of 21,43,37 with GCF Formula

Least Common Multiple of 21,43,37 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 21,43,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,43,37) = 1

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

GCF(21,43,37) x common factors =1 x 1 = 1

LCM(21,43,37) = ( 21 × 43 × 37 ) / 1

LCM(21,43,37) = 33411 / 1

LCM(21,43,37) = 33411


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 693/21, 352/43, 380/37

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 693/21, 352/43, 380/37?

Answer: GCF of Numerators as per given numbers 693/21, 352/43, 380/37 is

GCF of Numerators i.e. for 693,352,380 is 1

LCM of denominators i.e. for 21,43,37 is 33411.

Thus, GCF of Fractions is 1/33411.Finally, GCF of Fractions for 693/21, 352/43, 380/37 is 1/33411.