Greatest Common Factor of 649/999, 749/825, 318/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/999, 749/825, 318/999

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 649/999,749/825,318/999

Given fractions are 649/999,749/825,318/999

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 649,749,318

Greatest Common Factor of Numerators i.e. GCF of 649,749,318 is 1 .

LCM of Denominators means LCM of 999,825,999 as per the given fractions.

LCM of 999,825,999 is 274725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,749,318

GCF of Fractions 649/999,749/825,318/999 is 1/274725

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

Greatest Common Factor of 649,749,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,749,318 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 649,749,318 . The biggest common factor number is the GCF number.
So the greatest common factor 649,749,318 is 1.

Lets's calculate LCM of 999,825,999

3 999, 825, 999
3 333, 275, 333
3 111, 275, 111
37 37, 275, 37
1, 275, 1

∴ So the LCM of the given numbers is 3 x 3 x 3 x 37 x 1 x 275 x 1 = 274725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274725

Therefore, the GCF of Fractions 649/999,749/825,318/999 is 1/274725

Least Common Multiple of 999,825,999 with GCF Formula

Least Common Multiple of 999,825,999 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 999,825,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,825,999) = 3

common factors(in case of two or more numbers have common factors) = 999

GCF(999,825,999) x common factors =3 x 999 = 2997

LCM(999,825,999) = ( 999 × 825 × 999 ) / 2997

LCM(999,825,999) = 823350825 / 2997

LCM(999,825,999) = 274725


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 649/999, 749/825, 318/999

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 649/999, 749/825, 318/999?

Answer: GCF of Numerators as per given numbers 649/999, 749/825, 318/999 is

GCF of Numerators i.e. for 649,749,318 is 1

LCM of denominators i.e. for 999,825,999 is 274725.

Thus, GCF of Fractions is 1/274725.Finally, GCF of Fractions for 649/999, 749/825, 318/999 is 1/274725.