Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/70,59/24,15/50,811/15
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 78,59,15,811
Greatest Common Factor of Numerators i.e. GCF of 78,59,15,811 is 1 .
LCM of Denominators means LCM of 70,24,50,15 as per the given fractions.
LCM of 70,24,50,15 is 4200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,59,15,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 78,59,15,811 . The biggest common factor number is the GCF number.
So the greatest common factor 78,59,15,811 is 1.
Lets's calculate LCM of 70,24,50,15
2 | 70, 24, 50, 15 |
3 | 35, 12, 25, 15 |
5 | 35, 4, 25, 5 |
7, 4, 1, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 4 x 1 x 5 = 4200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4200
Therefore, the GCF of Fractions 78/70,59/24,15/50,811/15 is 1/4200
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 70,24,50,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,24,50,15) = 1
common factors(in case of two or more numbers have common factors) = 300
GCF(70,24,50,15) x common factors =1 x 300 = 300
LCM(70,24,50,15) = ( 70 × 24 × 50 × 15 ) / 300
LCM(70,24,50,15) = 1260000 / 300
LCM(70,24,50,15) = 4200
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 78/70, 59/24, 15/50, 811/15?
Answer: GCF of Numerators as per given numbers 78/70, 59/24, 15/50, 811/15 is
GCF of Numerators i.e. for 78,59,15,811 is 1
LCM of denominators i.e. for 70,24,50,15 is 4200.
Thus, GCF of Fractions is 1/4200.Finally, GCF of Fractions for 78/70, 59/24, 15/50, 811/15 is 1/4200.