Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8509/25,3029/817
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 8509,3029
Greatest Common Factor of Numerators i.e. GCF of 8509,3029 is 1 .
LCM of Denominators means LCM of 25,817 as per the given fractions.
LCM of 25,817 is 20425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8509,3029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8509
List of positive integer factors of 8509 that divides 8509 without a remainder.
1,67,127,8509
Factors of 3029
List of positive integer factors of 3029 that divides 3029 without a remainder.
1,13,233,3029
Greatest Common Factor
We found the factors 8509,3029 . The biggest common factor number is the GCF number.
So the greatest common factor 8509,3029 is 1.
Lets's calculate LCM of 25,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 20425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20425
Therefore, the GCF of Fractions 8509/25,3029/817 is 1/20425
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 25,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,817) x common factors =1 x 1 = 1
LCM(25,817) = ( 25 × 817 ) / 1
LCM(25,817) = 20425 / 1
LCM(25,817) = 20425
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 8509/25, 3029/817?
Answer: GCF of Numerators as per given numbers 8509/25, 3029/817 is
GCF of Numerators i.e. for 8509,3029 is 1
LCM of denominators i.e. for 25,817 is 20425.
Thus, GCF of Fractions is 1/20425.Finally, GCF of Fractions for 8509/25, 3029/817 is 1/20425.