Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 852/39,432/2051
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 852,432
Greatest Common Factor of Numerators i.e. GCF of 852,432 is 12 .
LCM of Denominators means LCM of 39,2051 as per the given fractions.
LCM of 39,2051 is 79989 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 852,432
2 | 852, 432 |
2 | 426, 216 |
3 | 213, 108 |
71, 36 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 852,432 . The biggest common factor number is the GCF number.
So the greatest common factor 852,432 is 12.
Lets's calculate LCM of 39,2051
Given numbers has no common factors except 1. So, there LCM is their product i.e 79989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/79989
Therefore, the GCF of Fractions 852/39,432/2051 is 12/79989
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 39,2051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,2051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,2051) x common factors =1 x 1 = 1
LCM(39,2051) = ( 39 × 2051 ) / 1
LCM(39,2051) = 79989 / 1
LCM(39,2051) = 79989
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 852/39, 432/2051?
Answer: GCF of Numerators as per given numbers 852/39, 432/2051 is
GCF of Numerators i.e. for 852,432 is 12
LCM of denominators i.e. for 39,2051 is 79989.
Thus, GCF of Fractions is 12/79989.Finally, GCF of Fractions for 852/39, 432/2051 is 12/79989.