Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5879/79,8317/508
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 5879,8317
Greatest Common Factor of Numerators i.e. GCF of 5879,8317 is 1 .
LCM of Denominators means LCM of 79,508 as per the given fractions.
LCM of 79,508 is 40132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5879,8317
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5879
List of positive integer factors of 5879 that divides 5879 without a remainder.
1,5879
Factors of 8317
List of positive integer factors of 8317 that divides 8317 without a remainder.
1,8317
Greatest Common Factor
We found the factors 5879,8317 . The biggest common factor number is the GCF number.
So the greatest common factor 5879,8317 is 1.
Lets's calculate LCM of 79,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 40132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40132
Therefore, the GCF of Fractions 5879/79,8317/508 is 1/40132
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 79,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,508) x common factors =1 x 1 = 1
LCM(79,508) = ( 79 × 508 ) / 1
LCM(79,508) = 40132 / 1
LCM(79,508) = 40132
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 5879/79, 8317/508?
Answer: GCF of Numerators as per given numbers 5879/79, 8317/508 is
GCF of Numerators i.e. for 5879,8317 is 1
LCM of denominators i.e. for 79,508 is 40132.
Thus, GCF of Fractions is 1/40132.Finally, GCF of Fractions for 5879/79, 8317/508 is 1/40132.