Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/37,87/715,371/823
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 65,87,371
Greatest Common Factor of Numerators i.e. GCF of 65,87,371 is 1 .
LCM of Denominators means LCM of 37,715,823 as per the given fractions.
LCM of 37,715,823 is 21772465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,87,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 65,87,371 . The biggest common factor number is the GCF number.
So the greatest common factor 65,87,371 is 1.
Lets's calculate LCM of 37,715,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 21772465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21772465
Therefore, the GCF of Fractions 65/37,87/715,371/823 is 1/21772465
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 37,715,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,715,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,715,823) x common factors =1 x 1 = 1
LCM(37,715,823) = ( 37 × 715 × 823 ) / 1
LCM(37,715,823) = 21772465 / 1
LCM(37,715,823) = 21772465
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 65/37, 87/715, 371/823?
Answer: GCF of Numerators as per given numbers 65/37, 87/715, 371/823 is
GCF of Numerators i.e. for 65,87,371 is 1
LCM of denominators i.e. for 37,715,823 is 21772465.
Thus, GCF of Fractions is 1/21772465.Finally, GCF of Fractions for 65/37, 87/715, 371/823 is 1/21772465.