Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/15,486/62,399/38
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 937,486,399
Greatest Common Factor of Numerators i.e. GCF of 937,486,399 is 1 .
LCM of Denominators means LCM of 15,62,38 as per the given fractions.
LCM of 15,62,38 is 17670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 937,486,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 937,486,399 . The biggest common factor number is the GCF number.
So the greatest common factor 937,486,399 is 1.
Lets's calculate LCM of 15,62,38
2 | 15, 62, 38 |
15, 31, 19 |
∴ So the LCM of the given numbers is 2 x 15 x 31 x 19 = 17670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17670
Therefore, the GCF of Fractions 937/15,486/62,399/38 is 1/17670
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 15,62,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,62,38) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(15,62,38) x common factors =1 x 2 = 2
LCM(15,62,38) = ( 15 × 62 × 38 ) / 2
LCM(15,62,38) = 35340 / 2
LCM(15,62,38) = 17670
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 937/15, 486/62, 399/38?
Answer: GCF of Numerators as per given numbers 937/15, 486/62, 399/38 is
GCF of Numerators i.e. for 937,486,399 is 1
LCM of denominators i.e. for 15,62,38 is 17670.
Thus, GCF of Fractions is 1/17670.Finally, GCF of Fractions for 937/15, 486/62, 399/38 is 1/17670.