Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 407/55,666/1346
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 407,666
Greatest Common Factor of Numerators i.e. GCF of 407,666 is 37 .
LCM of Denominators means LCM of 55,1346 as per the given fractions.
LCM of 55,1346 is 74030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 407,666
37 | 407, 666 |
11, 18 |
∴ So the GCF of the given numbers is 37 = 37
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 407,666 . The biggest common factor number is the GCF number.
So the greatest common factor 407,666 is 37.
Lets's calculate LCM of 55,1346
Given numbers has no common factors except 1. So, there LCM is their product i.e 74030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/74030
Therefore, the GCF of Fractions 407/55,666/1346 is 37/74030
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 55,1346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,1346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,1346) x common factors =1 x 1 = 1
LCM(55,1346) = ( 55 × 1346 ) / 1
LCM(55,1346) = 74030 / 1
LCM(55,1346) = 74030
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 407/55, 666/1346?
Answer: GCF of Numerators as per given numbers 407/55, 666/1346 is
GCF of Numerators i.e. for 407,666 is 37
LCM of denominators i.e. for 55,1346 is 74030.
Thus, GCF of Fractions is 37/74030.Finally, GCF of Fractions for 407/55, 666/1346 is 37/74030.