Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1599/62,8882/390
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 1599,8882
Greatest Common Factor of Numerators i.e. GCF of 1599,8882 is 1 .
LCM of Denominators means LCM of 62,390 as per the given fractions.
LCM of 62,390 is 12090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1599,8882
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1599
List of positive integer factors of 1599 that divides 1599 without a remainder.
1,3,13,39,41,123,533,1599
Factors of 8882
List of positive integer factors of 8882 that divides 8882 without a remainder.
1,2,4441,8882
Greatest Common Factor
We found the factors 1599,8882 . The biggest common factor number is the GCF number.
So the greatest common factor 1599,8882 is 1.
Lets's calculate LCM of 62,390
2 | 62, 390 |
31, 195 |
∴ So the LCM of the given numbers is 2 x 31 x 195 = 12090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12090
Therefore, the GCF of Fractions 1599/62,8882/390 is 1/12090
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 62,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,390) x common factors =2 x 1 = 2
LCM(62,390) = ( 62 × 390 ) / 2
LCM(62,390) = 24180 / 2
LCM(62,390) = 12090
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 1599/62, 8882/390?
Answer: GCF of Numerators as per given numbers 1599/62, 8882/390 is
GCF of Numerators i.e. for 1599,8882 is 1
LCM of denominators i.e. for 62,390 is 12090.
Thus, GCF of Fractions is 1/12090.Finally, GCF of Fractions for 1599/62, 8882/390 is 1/12090.