Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/34,115/30,682/690
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 39,115,682
Greatest Common Factor of Numerators i.e. GCF of 39,115,682 is 1 .
LCM of Denominators means LCM of 34,30,690 as per the given fractions.
LCM of 34,30,690 is 11730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,115,682
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 39,115,682 . The biggest common factor number is the GCF number.
So the greatest common factor 39,115,682 is 1.
Lets's calculate LCM of 34,30,690
2 | 34, 30, 690 |
3 | 17, 15, 345 |
5 | 17, 5, 115 |
17, 1, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 23 = 11730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11730
Therefore, the GCF of Fractions 39/34,115/30,682/690 is 1/11730
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 34,30,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,30,690) = 2
common factors(in case of two or more numbers have common factors) = 30
GCF(34,30,690) x common factors =2 x 30 = 60
LCM(34,30,690) = ( 34 × 30 × 690 ) / 60
LCM(34,30,690) = 703800 / 60
LCM(34,30,690) = 11730
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 39/34, 115/30, 682/690?
Answer: GCF of Numerators as per given numbers 39/34, 115/30, 682/690 is
GCF of Numerators i.e. for 39,115,682 is 1
LCM of denominators i.e. for 34,30,690 is 11730.
Thus, GCF of Fractions is 1/11730.Finally, GCF of Fractions for 39/34, 115/30, 682/690 is 1/11730.