Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/415,147/987
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 84,147
Greatest Common Factor of Numerators i.e. GCF of 84,147 is 21 .
LCM of Denominators means LCM of 415,987 as per the given fractions.
LCM of 415,987 is 409605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,147
3 | 84, 147 |
7 | 28, 49 |
4, 7 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 84,147 . The biggest common factor number is the GCF number.
So the greatest common factor 84,147 is 21.
Lets's calculate LCM of 415,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 409605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/409605
Therefore, the GCF of Fractions 84/415,147/987 is 21/409605
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 415,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,987) x common factors =1 x 1 = 1
LCM(415,987) = ( 415 × 987 ) / 1
LCM(415,987) = 409605 / 1
LCM(415,987) = 409605
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 84/415, 147/987?
Answer: GCF of Numerators as per given numbers 84/415, 147/987 is
GCF of Numerators i.e. for 84,147 is 21
LCM of denominators i.e. for 415,987 is 409605.
Thus, GCF of Fractions is 21/409605.Finally, GCF of Fractions for 84/415, 147/987 is 21/409605.