Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9668/72,6029/218
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 9668,6029
Greatest Common Factor of Numerators i.e. GCF of 9668,6029 is 1 .
LCM of Denominators means LCM of 72,218 as per the given fractions.
LCM of 72,218 is 7848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9668,6029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9668
List of positive integer factors of 9668 that divides 9668 without a remainder.
1,2,4,2417,4834,9668
Factors of 6029
List of positive integer factors of 6029 that divides 6029 without a remainder.
1,6029
Greatest Common Factor
We found the factors 9668,6029 . The biggest common factor number is the GCF number.
So the greatest common factor 9668,6029 is 1.
Lets's calculate LCM of 72,218
2 | 72, 218 |
36, 109 |
∴ So the LCM of the given numbers is 2 x 36 x 109 = 7848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7848
Therefore, the GCF of Fractions 9668/72,6029/218 is 1/7848
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 72,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(72,218) x common factors =2 x 1 = 2
LCM(72,218) = ( 72 × 218 ) / 2
LCM(72,218) = 15696 / 2
LCM(72,218) = 7848
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 9668/72, 6029/218?
Answer: GCF of Numerators as per given numbers 9668/72, 6029/218 is
GCF of Numerators i.e. for 9668,6029 is 1
LCM of denominators i.e. for 72,218 is 7848.
Thus, GCF of Fractions is 1/7848.Finally, GCF of Fractions for 9668/72, 6029/218 is 1/7848.