Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3269/62,8479/623
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 3269,8479
Greatest Common Factor of Numerators i.e. GCF of 3269,8479 is 1 .
LCM of Denominators means LCM of 62,623 as per the given fractions.
LCM of 62,623 is 38626 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3269,8479
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3269
List of positive integer factors of 3269 that divides 3269 without a remainder.
1,7,467,3269
Factors of 8479
List of positive integer factors of 8479 that divides 8479 without a remainder.
1,61,139,8479
Greatest Common Factor
We found the factors 3269,8479 . The biggest common factor number is the GCF number.
So the greatest common factor 3269,8479 is 1.
Lets's calculate LCM of 62,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 38626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38626
Therefore, the GCF of Fractions 3269/62,8479/623 is 1/38626
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 62,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,623) x common factors =1 x 1 = 1
LCM(62,623) = ( 62 × 623 ) / 1
LCM(62,623) = 38626 / 1
LCM(62,623) = 38626
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 3269/62, 8479/623?
Answer: GCF of Numerators as per given numbers 3269/62, 8479/623 is
GCF of Numerators i.e. for 3269,8479 is 1
LCM of denominators i.e. for 62,623 is 38626.
Thus, GCF of Fractions is 1/38626.Finally, GCF of Fractions for 3269/62, 8479/623 is 1/38626.