Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/20,66/66,79/136,811/616
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 5,66,79,811
Greatest Common Factor of Numerators i.e. GCF of 5,66,79,811 is 1 .
LCM of Denominators means LCM of 20,66,136,616 as per the given fractions.
LCM of 20,66,136,616 is 157080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,66,79,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 5,66,79,811 . The biggest common factor number is the GCF number.
So the greatest common factor 5,66,79,811 is 1.
Lets's calculate LCM of 20,66,136,616
2 | 20, 66, 136, 616 |
2 | 10, 33, 68, 308 |
2 | 5, 33, 34, 154 |
11 | 5, 33, 17, 77 |
5, 3, 17, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 5 x 3 x 17 x 7 = 157080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157080
Therefore, the GCF of Fractions 5/20,66/66,79/136,811/616 is 1/157080
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 20,66,136,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,66,136,616) = 2
common factors(in case of two or more numbers have common factors) = 352
GCF(20,66,136,616) x common factors =2 x 352 = 704
LCM(20,66,136,616) = ( 20 × 66 × 136 × 616 ) / 704
LCM(20,66,136,616) = 110584320 / 704
LCM(20,66,136,616) = 157080
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 5/20, 66/66, 79/136, 811/616?
Answer: GCF of Numerators as per given numbers 5/20, 66/66, 79/136, 811/616 is
GCF of Numerators i.e. for 5,66,79,811 is 1
LCM of denominators i.e. for 20,66,136,616 is 157080.
Thus, GCF of Fractions is 1/157080.Finally, GCF of Fractions for 5/20, 66/66, 79/136, 811/616 is 1/157080.