Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7894/587,3601/3834
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 7894,3601
Greatest Common Factor of Numerators i.e. GCF of 7894,3601 is 1 .
LCM of Denominators means LCM of 587,3834 as per the given fractions.
LCM of 587,3834 is 2250558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7894,3601
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7894
List of positive integer factors of 7894 that divides 7894 without a remainder.
1,2,3947,7894
Factors of 3601
List of positive integer factors of 3601 that divides 3601 without a remainder.
1,13,277,3601
Greatest Common Factor
We found the factors 7894,3601 . The biggest common factor number is the GCF number.
So the greatest common factor 7894,3601 is 1.
Lets's calculate LCM of 587,3834
Given numbers has no common factors except 1. So, there LCM is their product i.e 2250558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2250558
Therefore, the GCF of Fractions 7894/587,3601/3834 is 1/2250558
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 587,3834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,3834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,3834) x common factors =1 x 1 = 1
LCM(587,3834) = ( 587 × 3834 ) / 1
LCM(587,3834) = 2250558 / 1
LCM(587,3834) = 2250558
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 7894/587, 3601/3834?
Answer: GCF of Numerators as per given numbers 7894/587, 3601/3834 is
GCF of Numerators i.e. for 7894,3601 is 1
LCM of denominators i.e. for 587,3834 is 2250558.
Thus, GCF of Fractions is 1/2250558.Finally, GCF of Fractions for 7894/587, 3601/3834 is 1/2250558.