Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/419,65/986,648/762
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 87,65,648
Greatest Common Factor of Numerators i.e. GCF of 87,65,648 is 1 .
LCM of Denominators means LCM of 419,986,762 as per the given fractions.
LCM of 419,986,762 is 157404054 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,65,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 87,65,648 . The biggest common factor number is the GCF number.
So the greatest common factor 87,65,648 is 1.
Lets's calculate LCM of 419,986,762
2 | 419, 986, 762 |
419, 493, 381 |
∴ So the LCM of the given numbers is 2 x 419 x 493 x 381 = 157404054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157404054
Therefore, the GCF of Fractions 87/419,65/986,648/762 is 1/157404054
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 419,986,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,986,762) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(419,986,762) x common factors =1 x 2 = 2
LCM(419,986,762) = ( 419 × 986 × 762 ) / 2
LCM(419,986,762) = 314808108 / 2
LCM(419,986,762) = 157404054
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 87/419, 65/986, 648/762?
Answer: GCF of Numerators as per given numbers 87/419, 65/986, 648/762 is
GCF of Numerators i.e. for 87,65,648 is 1
LCM of denominators i.e. for 419,986,762 is 157404054.
Thus, GCF of Fractions is 1/157404054.Finally, GCF of Fractions for 87/419, 65/986, 648/762 is 1/157404054.