Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 787/66,966/60,418/408
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 787,966,418
Greatest Common Factor of Numerators i.e. GCF of 787,966,418 is 1 .
LCM of Denominators means LCM of 66,60,408 as per the given fractions.
LCM of 66,60,408 is 22440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 787,966,418
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 787,966,418 . The biggest common factor number is the GCF number.
So the greatest common factor 787,966,418 is 1.
Lets's calculate LCM of 66,60,408
2 | 66, 60, 408 |
2 | 33, 30, 204 |
3 | 33, 15, 102 |
11, 5, 34 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 5 x 34 = 22440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22440
Therefore, the GCF of Fractions 787/66,966/60,418/408 is 1/22440
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 66,60,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,60,408) = 6
common factors(in case of two or more numbers have common factors) = 12
GCF(66,60,408) x common factors =6 x 12 = 72
LCM(66,60,408) = ( 66 × 60 × 408 ) / 72
LCM(66,60,408) = 1615680 / 72
LCM(66,60,408) = 22440
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 787/66, 966/60, 418/408?
Answer: GCF of Numerators as per given numbers 787/66, 966/60, 418/408 is
GCF of Numerators i.e. for 787,966,418 is 1
LCM of denominators i.e. for 66,60,408 is 22440.
Thus, GCF of Fractions is 1/22440.Finally, GCF of Fractions for 787/66, 966/60, 418/408 is 1/22440.