Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/45,44/86,20/39,53/537
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 86,44,20,53
Greatest Common Factor of Numerators i.e. GCF of 86,44,20,53 is 1 .
LCM of Denominators means LCM of 45,86,39,537 as per the given fractions.
LCM of 45,86,39,537 is 9005490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,44,20,53
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Greatest Common Factor
We found the factors 86,44,20,53 . The biggest common factor number is the GCF number.
So the greatest common factor 86,44,20,53 is 1.
Lets's calculate LCM of 45,86,39,537
3 | 45, 86, 39, 537 |
15, 86, 13, 179 |
∴ So the LCM of the given numbers is 3 x 15 x 86 x 13 x 179 = 9005490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9005490
Therefore, the GCF of Fractions 86/45,44/86,20/39,53/537 is 1/9005490
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 45,86,39,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,86,39,537) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(45,86,39,537) x common factors =1 x 9 = 9
LCM(45,86,39,537) = ( 45 × 86 × 39 × 537 ) / 9
LCM(45,86,39,537) = 81049410 / 9
LCM(45,86,39,537) = 9005490
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 86/45, 44/86, 20/39, 53/537?
Answer: GCF of Numerators as per given numbers 86/45, 44/86, 20/39, 53/537 is
GCF of Numerators i.e. for 86,44,20,53 is 1
LCM of denominators i.e. for 45,86,39,537 is 9005490.
Thus, GCF of Fractions is 1/9005490.Finally, GCF of Fractions for 86/45, 44/86, 20/39, 53/537 is 1/9005490.