Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/47,187/7667
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 594,187
Greatest Common Factor of Numerators i.e. GCF of 594,187 is 11 .
LCM of Denominators means LCM of 47,7667 as per the given fractions.
LCM of 47,7667 is 360349 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,187
11 | 594, 187 |
54, 17 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 594,187 . The biggest common factor number is the GCF number.
So the greatest common factor 594,187 is 11.
Lets's calculate LCM of 47,7667
Given numbers has no common factors except 1. So, there LCM is their product i.e 360349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/360349
Therefore, the GCF of Fractions 594/47,187/7667 is 11/360349
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 47,7667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,7667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,7667) x common factors =1 x 1 = 1
LCM(47,7667) = ( 47 × 7667 ) / 1
LCM(47,7667) = 360349 / 1
LCM(47,7667) = 360349
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 594/47, 187/7667?
Answer: GCF of Numerators as per given numbers 594/47, 187/7667 is
GCF of Numerators i.e. for 594,187 is 11
LCM of denominators i.e. for 47,7667 is 360349.
Thus, GCF of Fractions is 11/360349.Finally, GCF of Fractions for 594/47, 187/7667 is 11/360349.