Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/37,42/717,218/688
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 20,42,218
Greatest Common Factor of Numerators i.e. GCF of 20,42,218 is 2 .
LCM of Denominators means LCM of 37,717,688 as per the given fractions.
LCM of 37,717,688 is 18251952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,42,218
2 | 20, 42, 218 |
10, 21, 109 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 20,42,218 . The biggest common factor number is the GCF number.
So the greatest common factor 20,42,218 is 2.
Lets's calculate LCM of 37,717,688
Given numbers has no common factors except 1. So, there LCM is their product i.e 18251952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18251952
Therefore, the GCF of Fractions 20/37,42/717,218/688 is 2/18251952
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 37,717,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,717,688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,717,688) x common factors =1 x 1 = 1
LCM(37,717,688) = ( 37 × 717 × 688 ) / 1
LCM(37,717,688) = 18251952 / 1
LCM(37,717,688) = 18251952
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 20/37, 42/717, 218/688?
Answer: GCF of Numerators as per given numbers 20/37, 42/717, 218/688 is
GCF of Numerators i.e. for 20,42,218 is 2
LCM of denominators i.e. for 37,717,688 is 18251952.
Thus, GCF of Fractions is 2/18251952.Finally, GCF of Fractions for 20/37, 42/717, 218/688 is 2/18251952.