Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3330/73,1612/374
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 3330,1612
Greatest Common Factor of Numerators i.e. GCF of 3330,1612 is 2 .
LCM of Denominators means LCM of 73,374 as per the given fractions.
LCM of 73,374 is 27302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3330,1612
2 | 3330, 1612 |
1665, 806 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3330
List of positive integer factors of 3330 that divides 3330 without a remainder.
1,2,3,5,6,9,10,15,18,30,37,45,74,90,111,185,222,333,370,555,666,1110,1665,3330
Factors of 1612
List of positive integer factors of 1612 that divides 1612 without a remainder.
1,2,4,13,26,31,52,62,124,403,806,1612
Greatest Common Factor
We found the factors 3330,1612 . The biggest common factor number is the GCF number.
So the greatest common factor 3330,1612 is 2.
Lets's calculate LCM of 73,374
Given numbers has no common factors except 1. So, there LCM is their product i.e 27302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27302
Therefore, the GCF of Fractions 3330/73,1612/374 is 2/27302
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 73,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,374) x common factors =1 x 1 = 1
LCM(73,374) = ( 73 × 374 ) / 1
LCM(73,374) = 27302 / 1
LCM(73,374) = 27302
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 3330/73, 1612/374?
Answer: GCF of Numerators as per given numbers 3330/73, 1612/374 is
GCF of Numerators i.e. for 3330,1612 is 2
LCM of denominators i.e. for 73,374 is 27302.
Thus, GCF of Fractions is 2/27302.Finally, GCF of Fractions for 3330/73, 1612/374 is 2/27302.