Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6604/366,9415/211
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 6604,9415
Greatest Common Factor of Numerators i.e. GCF of 6604,9415 is 1 .
LCM of Denominators means LCM of 366,211 as per the given fractions.
LCM of 366,211 is 77226 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6604,9415
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 9415
List of positive integer factors of 9415 that divides 9415 without a remainder.
1,5,7,35,269,1345,1883,9415
Greatest Common Factor
We found the factors 6604,9415 . The biggest common factor number is the GCF number.
So the greatest common factor 6604,9415 is 1.
Lets's calculate LCM of 366,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 77226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77226
Therefore, the GCF of Fractions 6604/366,9415/211 is 1/77226
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 366,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(366,211) x common factors =1 x 1 = 1
LCM(366,211) = ( 366 × 211 ) / 1
LCM(366,211) = 77226 / 1
LCM(366,211) = 77226
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 6604/366, 9415/211?
Answer: GCF of Numerators as per given numbers 6604/366, 9415/211 is
GCF of Numerators i.e. for 6604,9415 is 1
LCM of denominators i.e. for 366,211 is 77226.
Thus, GCF of Fractions is 1/77226.Finally, GCF of Fractions for 6604/366, 9415/211 is 1/77226.