Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5351/73,3719/617
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 5351,3719
Greatest Common Factor of Numerators i.e. GCF of 5351,3719 is 1 .
LCM of Denominators means LCM of 73,617 as per the given fractions.
LCM of 73,617 is 45041 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5351,3719
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5351
List of positive integer factors of 5351 that divides 5351 without a remainder.
1,5351
Factors of 3719
List of positive integer factors of 3719 that divides 3719 without a remainder.
1,3719
Greatest Common Factor
We found the factors 5351,3719 . The biggest common factor number is the GCF number.
So the greatest common factor 5351,3719 is 1.
Lets's calculate LCM of 73,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 45041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45041
Therefore, the GCF of Fractions 5351/73,3719/617 is 1/45041
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 73,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,617) x common factors =1 x 1 = 1
LCM(73,617) = ( 73 × 617 ) / 1
LCM(73,617) = 45041 / 1
LCM(73,617) = 45041
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 5351/73, 3719/617?
Answer: GCF of Numerators as per given numbers 5351/73, 3719/617 is
GCF of Numerators i.e. for 5351,3719 is 1
LCM of denominators i.e. for 73,617 is 45041.
Thus, GCF of Fractions is 1/45041.Finally, GCF of Fractions for 5351/73, 3719/617 is 1/45041.