Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/45,280/87,413/747
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 60,280,413
Greatest Common Factor of Numerators i.e. GCF of 60,280,413 is 1 .
LCM of Denominators means LCM of 45,87,747 as per the given fractions.
LCM of 45,87,747 is 108315 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,280,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 60,280,413 . The biggest common factor number is the GCF number.
So the greatest common factor 60,280,413 is 1.
Lets's calculate LCM of 45,87,747
3 | 45, 87, 747 |
3 | 15, 29, 249 |
5, 29, 83 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 29 x 83 = 108315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108315
Therefore, the GCF of Fractions 60/45,280/87,413/747 is 1/108315
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 45,87,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,87,747) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(45,87,747) x common factors =3 x 9 = 27
LCM(45,87,747) = ( 45 × 87 × 747 ) / 27
LCM(45,87,747) = 2924505 / 27
LCM(45,87,747) = 108315
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 60/45, 280/87, 413/747?
Answer: GCF of Numerators as per given numbers 60/45, 280/87, 413/747 is
GCF of Numerators i.e. for 60,280,413 is 1
LCM of denominators i.e. for 45,87,747 is 108315.
Thus, GCF of Fractions is 1/108315.Finally, GCF of Fractions for 60/45, 280/87, 413/747 is 1/108315.