Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5869/73,3667/918
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 5869,3667
Greatest Common Factor of Numerators i.e. GCF of 5869,3667 is 1 .
LCM of Denominators means LCM of 73,918 as per the given fractions.
LCM of 73,918 is 67014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5869,3667
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5869
List of positive integer factors of 5869 that divides 5869 without a remainder.
1,5869
Factors of 3667
List of positive integer factors of 3667 that divides 3667 without a remainder.
1,19,193,3667
Greatest Common Factor
We found the factors 5869,3667 . The biggest common factor number is the GCF number.
So the greatest common factor 5869,3667 is 1.
Lets's calculate LCM of 73,918
Given numbers has no common factors except 1. So, there LCM is their product i.e 67014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67014
Therefore, the GCF of Fractions 5869/73,3667/918 is 1/67014
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 73,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,918) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,918) x common factors =1 x 1 = 1
LCM(73,918) = ( 73 × 918 ) / 1
LCM(73,918) = 67014 / 1
LCM(73,918) = 67014
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 5869/73, 3667/918?
Answer: GCF of Numerators as per given numbers 5869/73, 3667/918 is
GCF of Numerators i.e. for 5869,3667 is 1
LCM of denominators i.e. for 73,918 is 67014.
Thus, GCF of Fractions is 1/67014.Finally, GCF of Fractions for 5869/73, 3667/918 is 1/67014.