Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 999/713,566/523,176/759
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 999,566,176
Greatest Common Factor of Numerators i.e. GCF of 999,566,176 is 1 .
LCM of Denominators means LCM of 713,523,759 as per the given fractions.
LCM of 713,523,759 is 12305667 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 999,566,176
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 999,566,176 . The biggest common factor number is the GCF number.
So the greatest common factor 999,566,176 is 1.
Lets's calculate LCM of 713,523,759
23 | 713, 523, 759 |
31, 523, 33 |
∴ So the LCM of the given numbers is 23 x 31 x 523 x 33 = 12305667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12305667
Therefore, the GCF of Fractions 999/713,566/523,176/759 is 1/12305667
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 713,523,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,523,759) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(713,523,759) x common factors =1 x 23 = 23
LCM(713,523,759) = ( 713 × 523 × 759 ) / 23
LCM(713,523,759) = 283030341 / 23
LCM(713,523,759) = 12305667
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 999/713, 566/523, 176/759?
Answer: GCF of Numerators as per given numbers 999/713, 566/523, 176/759 is
GCF of Numerators i.e. for 999,566,176 is 1
LCM of denominators i.e. for 713,523,759 is 12305667.
Thus, GCF of Fractions is 1/12305667.Finally, GCF of Fractions for 999/713, 566/523, 176/759 is 1/12305667.