Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/667,1024/1065
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 13,1024
Greatest Common Factor of Numerators i.e. GCF of 13,1024 is 1 .
LCM of Denominators means LCM of 667,1065 as per the given fractions.
LCM of 667,1065 is 710355 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,1024
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 1024
List of positive integer factors of 1024 that divides 1024 without a remainder.
1,2,4,8,16,32,64,128,256,512,1024
Greatest Common Factor
We found the factors 13,1024 . The biggest common factor number is the GCF number.
So the greatest common factor 13,1024 is 1.
Lets's calculate LCM of 667,1065
Given numbers has no common factors except 1. So, there LCM is their product i.e 710355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710355
Therefore, the GCF of Fractions 13/667,1024/1065 is 1/710355
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 667,1065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,1065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,1065) x common factors =1 x 1 = 1
LCM(667,1065) = ( 667 × 1065 ) / 1
LCM(667,1065) = 710355 / 1
LCM(667,1065) = 710355
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 13/667, 1024/1065?
Answer: GCF of Numerators as per given numbers 13/667, 1024/1065 is
GCF of Numerators i.e. for 13,1024 is 1
LCM of denominators i.e. for 667,1065 is 710355.
Thus, GCF of Fractions is 1/710355.Finally, GCF of Fractions for 13/667, 1024/1065 is 1/710355.