Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/85,651/17,633/468
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 594,651,633
Greatest Common Factor of Numerators i.e. GCF of 594,651,633 is 3 .
LCM of Denominators means LCM of 85,17,468 as per the given fractions.
LCM of 85,17,468 is 39780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,651,633
3 | 594, 651, 633 |
198, 217, 211 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 594,651,633 . The biggest common factor number is the GCF number.
So the greatest common factor 594,651,633 is 3.
Lets's calculate LCM of 85,17,468
17 | 85, 17, 468 |
5, 1, 468 |
∴ So the LCM of the given numbers is 17 x 5 x 1 x 468 = 39780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39780
Therefore, the GCF of Fractions 594/85,651/17,633/468 is 3/39780
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 85,17,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,17,468) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(85,17,468) x common factors =1 x 17 = 17
LCM(85,17,468) = ( 85 × 17 × 468 ) / 17
LCM(85,17,468) = 676260 / 17
LCM(85,17,468) = 39780
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 594/85, 651/17, 633/468?
Answer: GCF of Numerators as per given numbers 594/85, 651/17, 633/468 is
GCF of Numerators i.e. for 594,651,633 is 3
LCM of denominators i.e. for 85,17,468 is 39780.
Thus, GCF of Fractions is 3/39780.Finally, GCF of Fractions for 594/85, 651/17, 633/468 is 3/39780.