Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9815/617,5464/684
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 9815,5464
Greatest Common Factor of Numerators i.e. GCF of 9815,5464 is 1 .
LCM of Denominators means LCM of 617,684 as per the given fractions.
LCM of 617,684 is 422028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9815,5464
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9815
List of positive integer factors of 9815 that divides 9815 without a remainder.
1,5,13,65,151,755,1963,9815
Factors of 5464
List of positive integer factors of 5464 that divides 5464 without a remainder.
1,2,4,8,683,1366,2732,5464
Greatest Common Factor
We found the factors 9815,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 9815,5464 is 1.
Lets's calculate LCM of 617,684
Given numbers has no common factors except 1. So, there LCM is their product i.e 422028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422028
Therefore, the GCF of Fractions 9815/617,5464/684 is 1/422028
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 617,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,684) x common factors =1 x 1 = 1
LCM(617,684) = ( 617 × 684 ) / 1
LCM(617,684) = 422028 / 1
LCM(617,684) = 422028
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 9815/617, 5464/684?
Answer: GCF of Numerators as per given numbers 9815/617, 5464/684 is
GCF of Numerators i.e. for 9815,5464 is 1
LCM of denominators i.e. for 617,684 is 422028.
Thus, GCF of Fractions is 1/422028.Finally, GCF of Fractions for 9815/617, 5464/684 is 1/422028.