Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/38,37/303,727/472
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 67,37,727
Greatest Common Factor of Numerators i.e. GCF of 67,37,727 is 1 .
LCM of Denominators means LCM of 38,303,472 as per the given fractions.
LCM of 38,303,472 is 2717304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 67,37,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Greatest Common Factor
We found the factors 67,37,727 . The biggest common factor number is the GCF number.
So the greatest common factor 67,37,727 is 1.
Lets's calculate LCM of 38,303,472
2 | 38, 303, 472 |
19, 303, 236 |
∴ So the LCM of the given numbers is 2 x 19 x 303 x 236 = 2717304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2717304
Therefore, the GCF of Fractions 67/38,37/303,727/472 is 1/2717304
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 38,303,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,303,472) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,303,472) x common factors =1 x 2 = 2
LCM(38,303,472) = ( 38 × 303 × 472 ) / 2
LCM(38,303,472) = 5434608 / 2
LCM(38,303,472) = 2717304
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 67/38, 37/303, 727/472?
Answer: GCF of Numerators as per given numbers 67/38, 37/303, 727/472 is
GCF of Numerators i.e. for 67,37,727 is 1
LCM of denominators i.e. for 38,303,472 is 2717304.
Thus, GCF of Fractions is 1/2717304.Finally, GCF of Fractions for 67/38, 37/303, 727/472 is 1/2717304.