Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/677,648/373,797/827
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 60,648,797
Greatest Common Factor of Numerators i.e. GCF of 60,648,797 is 1 .
LCM of Denominators means LCM of 677,373,827 as per the given fractions.
LCM of 677,373,827 is 208834867 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,648,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
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
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 60,648,797 . The biggest common factor number is the GCF number.
So the greatest common factor 60,648,797 is 1.
Lets's calculate LCM of 677,373,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 208834867
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208834867
Therefore, the GCF of Fractions 60/677,648/373,797/827 is 1/208834867
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 677,373,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,373,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,373,827) x common factors =1 x 1 = 1
LCM(677,373,827) = ( 677 × 373 × 827 ) / 1
LCM(677,373,827) = 208834867 / 1
LCM(677,373,827) = 208834867
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 60/677, 648/373, 797/827?
Answer: GCF of Numerators as per given numbers 60/677, 648/373, 797/827 is
GCF of Numerators i.e. for 60,648,797 is 1
LCM of denominators i.e. for 677,373,827 is 208834867.
Thus, GCF of Fractions is 1/208834867.Finally, GCF of Fractions for 60/677, 648/373, 797/827 is 1/208834867.