Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/59,67/25,13/351,583/612
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 9,67,13,583
Greatest Common Factor of Numerators i.e. GCF of 9,67,13,583 is 1 .
LCM of Denominators means LCM of 59,25,351,612 as per the given fractions.
LCM of 59,25,351,612 is 35205300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,67,13,583
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Greatest Common Factor
We found the factors 9,67,13,583 . The biggest common factor number is the GCF number.
So the greatest common factor 9,67,13,583 is 1.
Lets's calculate LCM of 59,25,351,612
3 | 59, 25, 351, 612 |
3 | 59, 25, 117, 204 |
59, 25, 39, 68 |
∴ So the LCM of the given numbers is 3 x 3 x 59 x 25 x 39 x 68 = 35205300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35205300
Therefore, the GCF of Fractions 9/59,67/25,13/351,583/612 is 1/35205300
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 59,25,351,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,25,351,612) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(59,25,351,612) x common factors =1 x 9 = 9
LCM(59,25,351,612) = ( 59 × 25 × 351 × 612 ) / 9
LCM(59,25,351,612) = 316847700 / 9
LCM(59,25,351,612) = 35205300
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 9/59, 67/25, 13/351, 583/612?
Answer: GCF of Numerators as per given numbers 9/59, 67/25, 13/351, 583/612 is
GCF of Numerators i.e. for 9,67,13,583 is 1
LCM of denominators i.e. for 59,25,351,612 is 35205300.
Thus, GCF of Fractions is 1/35205300.Finally, GCF of Fractions for 9/59, 67/25, 13/351, 583/612 is 1/35205300.