Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/57,237/19,111/82
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 552,237,111
Greatest Common Factor of Numerators i.e. GCF of 552,237,111 is 3 .
LCM of Denominators means LCM of 57,19,82 as per the given fractions.
LCM of 57,19,82 is 4674 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 552,237,111
3 | 552, 237, 111 |
184, 79, 37 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 552,237,111 . The biggest common factor number is the GCF number.
So the greatest common factor 552,237,111 is 3.
Lets's calculate LCM of 57,19,82
19 | 57, 19, 82 |
3, 1, 82 |
∴ So the LCM of the given numbers is 19 x 3 x 1 x 82 = 4674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4674
Therefore, the GCF of Fractions 552/57,237/19,111/82 is 3/4674
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 57,19,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,19,82) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(57,19,82) x common factors =1 x 19 = 19
LCM(57,19,82) = ( 57 × 19 × 82 ) / 19
LCM(57,19,82) = 88806 / 19
LCM(57,19,82) = 4674
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 552/57, 237/19, 111/82?
Answer: GCF of Numerators as per given numbers 552/57, 237/19, 111/82 is
GCF of Numerators i.e. for 552,237,111 is 3
LCM of denominators i.e. for 57,19,82 is 4674.
Thus, GCF of Fractions is 3/4674.Finally, GCF of Fractions for 552/57, 237/19, 111/82 is 3/4674.