Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/58,62/93,10/92,515/92
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 27,62,10,515
Greatest Common Factor of Numerators i.e. GCF of 27,62,10,515 is 1 .
LCM of Denominators means LCM of 58,93,92,92 as per the given fractions.
LCM of 58,93,92,92 is 248124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,62,10,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 27,62,10,515 . The biggest common factor number is the GCF number.
So the greatest common factor 27,62,10,515 is 1.
Lets's calculate LCM of 58,93,92,92
2 | 58, 93, 92, 92 |
2 | 29, 93, 46, 46 |
23 | 29, 93, 23, 23 |
29, 93, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 29 x 93 x 1 x 1 = 248124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248124
Therefore, the GCF of Fractions 27/58,62/93,10/92,515/92 is 1/248124
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 58,93,92,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,93,92,92) = 1
common factors(in case of two or more numbers have common factors) = 184
GCF(58,93,92,92) x common factors =1 x 184 = 184
LCM(58,93,92,92) = ( 58 × 93 × 92 × 92 ) / 184
LCM(58,93,92,92) = 45654816 / 184
LCM(58,93,92,92) = 248124
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 27/58, 62/93, 10/92, 515/92?
Answer: GCF of Numerators as per given numbers 27/58, 62/93, 10/92, 515/92 is
GCF of Numerators i.e. for 27,62,10,515 is 1
LCM of denominators i.e. for 58,93,92,92 is 248124.
Thus, GCF of Fractions is 1/248124.Finally, GCF of Fractions for 27/58, 62/93, 10/92, 515/92 is 1/248124.