Greatest Common Factor of 693/19, 655/21, 755/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 693/19, 655/21, 755/775

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 693/19,655/21,755/775

Given fractions are 693/19,655/21,755/775

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 693,655,755

Greatest Common Factor of Numerators i.e. GCF of 693,655,755 is 1 .

LCM of Denominators means LCM of 19,21,775 as per the given fractions.

LCM of 19,21,775 is 309225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 693,655,755

GCF of Fractions 693/19,655/21,755/775 is 1/309225

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

Greatest Common Factor of 693,655,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,655,755 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 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 693,655,755 . The biggest common factor number is the GCF number.
So the greatest common factor 693,655,755 is 1.

Lets's calculate LCM of 19,21,775

Given numbers has no common factors except 1. So, there LCM is their product i.e 309225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309225

Therefore, the GCF of Fractions 693/19,655/21,755/775 is 1/309225

Least Common Multiple of 19,21,775 with GCF Formula

Least Common Multiple of 19,21,775 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 19,21,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,21,775) = 1

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

GCF(19,21,775) x common factors =1 x 1 = 1

LCM(19,21,775) = ( 19 × 21 × 775 ) / 1

LCM(19,21,775) = 309225 / 1

LCM(19,21,775) = 309225


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 693/19, 655/21, 755/775

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 693/19, 655/21, 755/775?

Answer: GCF of Numerators as per given numbers 693/19, 655/21, 755/775 is

GCF of Numerators i.e. for 693,655,755 is 1

LCM of denominators i.e. for 19,21,775 is 309225.

Thus, GCF of Fractions is 1/309225.Finally, GCF of Fractions for 693/19, 655/21, 755/775 is 1/309225.