Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/878,138/149,750/108
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 36,138,750
Greatest Common Factor of Numerators i.e. GCF of 36,138,750 is 6 .
LCM of Denominators means LCM of 878,149,108 as per the given fractions.
LCM of 878,149,108 is 7064388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,138,750
2 | 36, 138, 750 |
3 | 18, 69, 375 |
6, 23, 125 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 36,138,750 . The biggest common factor number is the GCF number.
So the greatest common factor 36,138,750 is 6.
Lets's calculate LCM of 878,149,108
2 | 878, 149, 108 |
439, 149, 54 |
∴ So the LCM of the given numbers is 2 x 439 x 149 x 54 = 7064388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7064388
Therefore, the GCF of Fractions 36/878,138/149,750/108 is 6/7064388
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 878,149,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,149,108) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(878,149,108) x common factors =1 x 2 = 2
LCM(878,149,108) = ( 878 × 149 × 108 ) / 2
LCM(878,149,108) = 14128776 / 2
LCM(878,149,108) = 7064388
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 36/878, 138/149, 750/108?
Answer: GCF of Numerators as per given numbers 36/878, 138/149, 750/108 is
GCF of Numerators i.e. for 36,138,750 is 6
LCM of denominators i.e. for 878,149,108 is 7064388.
Thus, GCF of Fractions is 6/7064388.Finally, GCF of Fractions for 36/878, 138/149, 750/108 is 6/7064388.