Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 188/80,416/63,870/54
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 188,416,870
Greatest Common Factor of Numerators i.e. GCF of 188,416,870 is 2 .
LCM of Denominators means LCM of 80,63,54 as per the given fractions.
LCM of 80,63,54 is 15120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 188,416,870
2 | 188, 416, 870 |
94, 208, 435 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 188,416,870 . The biggest common factor number is the GCF number.
So the greatest common factor 188,416,870 is 2.
Lets's calculate LCM of 80,63,54
2 | 80, 63, 54 |
3 | 40, 63, 27 |
3 | 40, 21, 9 |
40, 7, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 40 x 7 x 3 = 15120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15120
Therefore, the GCF of Fractions 188/80,416/63,870/54 is 2/15120
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 80,63,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,63,54) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(80,63,54) x common factors =1 x 18 = 18
LCM(80,63,54) = ( 80 × 63 × 54 ) / 18
LCM(80,63,54) = 272160 / 18
LCM(80,63,54) = 15120
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 188/80, 416/63, 870/54?
Answer: GCF of Numerators as per given numbers 188/80, 416/63, 870/54 is
GCF of Numerators i.e. for 188,416,870 is 2
LCM of denominators i.e. for 80,63,54 is 15120.
Thus, GCF of Fractions is 2/15120.Finally, GCF of Fractions for 188/80, 416/63, 870/54 is 2/15120.