Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4047/82,2385/955
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 4047,2385
Greatest Common Factor of Numerators i.e. GCF of 4047,2385 is 3 .
LCM of Denominators means LCM of 82,955 as per the given fractions.
LCM of 82,955 is 78310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4047,2385
3 | 4047, 2385 |
1349, 795 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4047
List of positive integer factors of 4047 that divides 4047 without a remainder.
1,3,19,57,71,213,1349,4047
Factors of 2385
List of positive integer factors of 2385 that divides 2385 without a remainder.
1,3,5,9,15,45,53,159,265,477,795,2385
Greatest Common Factor
We found the factors 4047,2385 . The biggest common factor number is the GCF number.
So the greatest common factor 4047,2385 is 3.
Lets's calculate LCM of 82,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 78310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/78310
Therefore, the GCF of Fractions 4047/82,2385/955 is 3/78310
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 82,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,955) x common factors =1 x 1 = 1
LCM(82,955) = ( 82 × 955 ) / 1
LCM(82,955) = 78310 / 1
LCM(82,955) = 78310
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 4047/82, 2385/955?
Answer: GCF of Numerators as per given numbers 4047/82, 2385/955 is
GCF of Numerators i.e. for 4047,2385 is 3
LCM of denominators i.e. for 82,955 is 78310.
Thus, GCF of Fractions is 3/78310.Finally, GCF of Fractions for 4047/82, 2385/955 is 3/78310.