Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/78,428/37,302/72
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 8,428,302
Greatest Common Factor of Numerators i.e. GCF of 8,428,302 is 2 .
LCM of Denominators means LCM of 78,37,72 as per the given fractions.
LCM of 78,37,72 is 34632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,428,302
2 | 8, 428, 302 |
4, 214, 151 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 8,428,302 . The biggest common factor number is the GCF number.
So the greatest common factor 8,428,302 is 2.
Lets's calculate LCM of 78,37,72
2 | 78, 37, 72 |
3 | 39, 37, 36 |
13, 37, 12 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 37 x 12 = 34632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34632
Therefore, the GCF of Fractions 8/78,428/37,302/72 is 2/34632
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 78,37,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,37,72) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,37,72) x common factors =1 x 6 = 6
LCM(78,37,72) = ( 78 × 37 × 72 ) / 6
LCM(78,37,72) = 207792 / 6
LCM(78,37,72) = 34632
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 8/78, 428/37, 302/72?
Answer: GCF of Numerators as per given numbers 8/78, 428/37, 302/72 is
GCF of Numerators i.e. for 8,428,302 is 2
LCM of denominators i.e. for 78,37,72 is 34632.
Thus, GCF of Fractions is 2/34632.Finally, GCF of Fractions for 8/78, 428/37, 302/72 is 2/34632.