Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/16,420/81,852/666
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 155,420,852
Greatest Common Factor of Numerators i.e. GCF of 155,420,852 is 1 .
LCM of Denominators means LCM of 16,81,666 as per the given fractions.
LCM of 16,81,666 is 47952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 155,420,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 155,420,852 . The biggest common factor number is the GCF number.
So the greatest common factor 155,420,852 is 1.
Lets's calculate LCM of 16,81,666
2 | 16, 81, 666 |
3 | 8, 81, 333 |
3 | 8, 27, 111 |
8, 9, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 8 x 9 x 37 = 47952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47952
Therefore, the GCF of Fractions 155/16,420/81,852/666 is 1/47952
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 16,81,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,81,666) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(16,81,666) x common factors =1 x 18 = 18
LCM(16,81,666) = ( 16 × 81 × 666 ) / 18
LCM(16,81,666) = 863136 / 18
LCM(16,81,666) = 47952
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 155/16, 420/81, 852/666?
Answer: GCF of Numerators as per given numbers 155/16, 420/81, 852/666 is
GCF of Numerators i.e. for 155,420,852 is 1
LCM of denominators i.e. for 16,81,666 is 47952.
Thus, GCF of Fractions is 1/47952.Finally, GCF of Fractions for 155/16, 420/81, 852/666 is 1/47952.