Greatest Common Factor of 84/923, 16/485, 693/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/923, 16/485, 693/706

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 84/923,16/485,693/706

Given fractions are 84/923,16/485,693/706

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 84,16,693

Greatest Common Factor of Numerators i.e. GCF of 84,16,693 is 1 .

LCM of Denominators means LCM of 923,485,706 as per the given fractions.

LCM of 923,485,706 is 316044430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,16,693

GCF of Fractions 84/923,16/485,693/706 is 1/316044430

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

Greatest Common Factor of 84,16,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,16,693 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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

Greatest Common Factor

We found the factors 84,16,693 . The biggest common factor number is the GCF number.
So the greatest common factor 84,16,693 is 1.

Lets's calculate LCM of 923,485,706

Given numbers has no common factors except 1. So, there LCM is their product i.e 316044430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316044430

Therefore, the GCF of Fractions 84/923,16/485,693/706 is 1/316044430

Least Common Multiple of 923,485,706 with GCF Formula

Least Common Multiple of 923,485,706 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 923,485,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,485,706) = 1

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

GCF(923,485,706) x common factors =1 x 1 = 1

LCM(923,485,706) = ( 923 × 485 × 706 ) / 1

LCM(923,485,706) = 316044430 / 1

LCM(923,485,706) = 316044430


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 84/923, 16/485, 693/706

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 84/923, 16/485, 693/706?

Answer: GCF of Numerators as per given numbers 84/923, 16/485, 693/706 is

GCF of Numerators i.e. for 84,16,693 is 1

LCM of denominators i.e. for 923,485,706 is 316044430.

Thus, GCF of Fractions is 1/316044430.Finally, GCF of Fractions for 84/923, 16/485, 693/706 is 1/316044430.