Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 280/90,582/4240
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 280,582
Greatest Common Factor of Numerators i.e. GCF of 280,582 is 2 .
LCM of Denominators means LCM of 90,4240 as per the given fractions.
LCM of 90,4240 is 38160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 280,582
2 | 280, 582 |
140, 291 |
∴ So the GCF of the given numbers is 2 = 2
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 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 280,582 . The biggest common factor number is the GCF number.
So the greatest common factor 280,582 is 2.
Lets's calculate LCM of 90,4240
2 | 90, 4240 |
5 | 45, 2120 |
9, 424 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 424 = 38160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38160
Therefore, the GCF of Fractions 280/90,582/4240 is 2/38160
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 90,4240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,4240) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(90,4240) x common factors =10 x 1 = 10
LCM(90,4240) = ( 90 × 4240 ) / 10
LCM(90,4240) = 381600 / 10
LCM(90,4240) = 38160
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 280/90, 582/4240?
Answer: GCF of Numerators as per given numbers 280/90, 582/4240 is
GCF of Numerators i.e. for 280,582 is 2
LCM of denominators i.e. for 90,4240 is 38160.
Thus, GCF of Fractions is 2/38160.Finally, GCF of Fractions for 280/90, 582/4240 is 2/38160.