Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4635/673,6965/1915
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 4635,6965
Greatest Common Factor of Numerators i.e. GCF of 4635,6965 is 5 .
LCM of Denominators means LCM of 673,1915 as per the given fractions.
LCM of 673,1915 is 1288795 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4635,6965
5 | 4635, 6965 |
927, 1393 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4635
List of positive integer factors of 4635 that divides 4635 without a remainder.
1,3,5,9,15,45,103,309,515,927,1545,4635
Factors of 6965
List of positive integer factors of 6965 that divides 6965 without a remainder.
1,5,7,35,199,995,1393,6965
Greatest Common Factor
We found the factors 4635,6965 . The biggest common factor number is the GCF number.
So the greatest common factor 4635,6965 is 5.
Lets's calculate LCM of 673,1915
Given numbers has no common factors except 1. So, there LCM is their product i.e 1288795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1288795
Therefore, the GCF of Fractions 4635/673,6965/1915 is 5/1288795
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 673,1915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,1915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,1915) x common factors =1 x 1 = 1
LCM(673,1915) = ( 673 × 1915 ) / 1
LCM(673,1915) = 1288795 / 1
LCM(673,1915) = 1288795
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 4635/673, 6965/1915?
Answer: GCF of Numerators as per given numbers 4635/673, 6965/1915 is
GCF of Numerators i.e. for 4635,6965 is 5
LCM of denominators i.e. for 673,1915 is 1288795.
Thus, GCF of Fractions is 5/1288795.Finally, GCF of Fractions for 4635/673, 6965/1915 is 5/1288795.