Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 787/30,651/17,313/936
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 787,651,313
Greatest Common Factor of Numerators i.e. GCF of 787,651,313 is 1 .
LCM of Denominators means LCM of 30,17,936 as per the given fractions.
LCM of 30,17,936 is 79560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 787,651,313
∴ 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 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 787,651,313 . The biggest common factor number is the GCF number.
So the greatest common factor 787,651,313 is 1.
Lets's calculate LCM of 30,17,936
2 | 30, 17, 936 |
3 | 15, 17, 468 |
5, 17, 156 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 156 = 79560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79560
Therefore, the GCF of Fractions 787/30,651/17,313/936 is 1/79560
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 30,17,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,17,936) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(30,17,936) x common factors =1 x 6 = 6
LCM(30,17,936) = ( 30 × 17 × 936 ) / 6
LCM(30,17,936) = 477360 / 6
LCM(30,17,936) = 79560
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 787/30, 651/17, 313/936?
Answer: GCF of Numerators as per given numbers 787/30, 651/17, 313/936 is
GCF of Numerators i.e. for 787,651,313 is 1
LCM of denominators i.e. for 30,17,936 is 79560.
Thus, GCF of Fractions is 1/79560.Finally, GCF of Fractions for 787/30, 651/17, 313/936 is 1/79560.