Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/43,456/52,150/922
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 87,456,150
Greatest Common Factor of Numerators i.e. GCF of 87,456,150 is 3 .
LCM of Denominators means LCM of 43,52,922 as per the given fractions.
LCM of 43,52,922 is 1030796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,456,150
3 | 87, 456, 150 |
29, 152, 50 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 87,456,150 . The biggest common factor number is the GCF number.
So the greatest common factor 87,456,150 is 3.
Lets's calculate LCM of 43,52,922
2 | 43, 52, 922 |
43, 26, 461 |
∴ So the LCM of the given numbers is 2 x 43 x 26 x 461 = 1030796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1030796
Therefore, the GCF of Fractions 87/43,456/52,150/922 is 3/1030796
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 43,52,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,52,922) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,52,922) x common factors =1 x 2 = 2
LCM(43,52,922) = ( 43 × 52 × 922 ) / 2
LCM(43,52,922) = 2061592 / 2
LCM(43,52,922) = 1030796
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 87/43, 456/52, 150/922?
Answer: GCF of Numerators as per given numbers 87/43, 456/52, 150/922 is
GCF of Numerators i.e. for 87,456,150 is 3
LCM of denominators i.e. for 43,52,922 is 1030796.
Thus, GCF of Fractions is 3/1030796.Finally, GCF of Fractions for 87/43, 456/52, 150/922 is 3/1030796.