Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3009/362,6417/4405
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 3009,6417
Greatest Common Factor of Numerators i.e. GCF of 3009,6417 is 3 .
LCM of Denominators means LCM of 362,4405 as per the given fractions.
LCM of 362,4405 is 1594610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3009,6417
3 | 3009, 6417 |
1003, 2139 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3009
List of positive integer factors of 3009 that divides 3009 without a remainder.
1,3,17,51,59,177,1003,3009
Factors of 6417
List of positive integer factors of 6417 that divides 6417 without a remainder.
1,3,9,23,31,69,93,207,279,713,2139,6417
Greatest Common Factor
We found the factors 3009,6417 . The biggest common factor number is the GCF number.
So the greatest common factor 3009,6417 is 3.
Lets's calculate LCM of 362,4405
Given numbers has no common factors except 1. So, there LCM is their product i.e 1594610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1594610
Therefore, the GCF of Fractions 3009/362,6417/4405 is 3/1594610
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 362,4405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,4405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,4405) x common factors =1 x 1 = 1
LCM(362,4405) = ( 362 × 4405 ) / 1
LCM(362,4405) = 1594610 / 1
LCM(362,4405) = 1594610
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 3009/362, 6417/4405?
Answer: GCF of Numerators as per given numbers 3009/362, 6417/4405 is
GCF of Numerators i.e. for 3009,6417 is 3
LCM of denominators i.e. for 362,4405 is 1594610.
Thus, GCF of Fractions is 3/1594610.Finally, GCF of Fractions for 3009/362, 6417/4405 is 3/1594610.