Greatest Common Factor of 66/600, 421/525, 879/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/600, 421/525, 879/683

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 66/600,421/525,879/683

Given fractions are 66/600,421/525,879/683

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 66,421,879

Greatest Common Factor of Numerators i.e. GCF of 66,421,879 is 1 .

LCM of Denominators means LCM of 600,525,683 as per the given fractions.

LCM of 600,525,683 is 2868600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,421,879

GCF of Fractions 66/600,421/525,879/683 is 1/2868600

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

Greatest Common Factor of 66,421,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,421,879 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 66,421,879 . The biggest common factor number is the GCF number.
So the greatest common factor 66,421,879 is 1.

Lets's calculate LCM of 600,525,683

3 600, 525, 683
5 200, 175, 683
5 40, 35, 683
8, 7, 683

∴ So the LCM of the given numbers is 3 x 5 x 5 x 8 x 7 x 683 = 2868600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2868600

Therefore, the GCF of Fractions 66/600,421/525,879/683 is 1/2868600

Least Common Multiple of 600,525,683 with GCF Formula

Least Common Multiple of 600,525,683 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 600,525,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,525,683) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(600,525,683) x common factors =1 x 75 = 75

LCM(600,525,683) = ( 600 × 525 × 683 ) / 75

LCM(600,525,683) = 215145000 / 75

LCM(600,525,683) = 2868600


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 66/600, 421/525, 879/683

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 66/600, 421/525, 879/683?

Answer: GCF of Numerators as per given numbers 66/600, 421/525, 879/683 is

GCF of Numerators i.e. for 66,421,879 is 1

LCM of denominators i.e. for 600,525,683 is 2868600.

Thus, GCF of Fractions is 1/2868600.Finally, GCF of Fractions for 66/600, 421/525, 879/683 is 1/2868600.