Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3609/563,6604/327
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 3609,6604
Greatest Common Factor of Numerators i.e. GCF of 3609,6604 is 1 .
LCM of Denominators means LCM of 563,327 as per the given fractions.
LCM of 563,327 is 184101 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3609,6604
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3609
List of positive integer factors of 3609 that divides 3609 without a remainder.
1,3,9,401,1203,3609
Factors of 6604
List of positive integer factors of 6604 that divides 6604 without a remainder.
1,2,4,13,26,52,127,254,508,1651,3302,6604
Greatest Common Factor
We found the factors 3609,6604 . The biggest common factor number is the GCF number.
So the greatest common factor 3609,6604 is 1.
Lets's calculate LCM of 563,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 184101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184101
Therefore, the GCF of Fractions 3609/563,6604/327 is 1/184101
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 563,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,327) x common factors =1 x 1 = 1
LCM(563,327) = ( 563 × 327 ) / 1
LCM(563,327) = 184101 / 1
LCM(563,327) = 184101
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 3609/563, 6604/327?
Answer: GCF of Numerators as per given numbers 3609/563, 6604/327 is
GCF of Numerators i.e. for 3609,6604 is 1
LCM of denominators i.e. for 563,327 is 184101.
Thus, GCF of Fractions is 1/184101.Finally, GCF of Fractions for 3609/563, 6604/327 is 1/184101.