Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/298,918/142,668/604
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 40,918,668
Greatest Common Factor of Numerators i.e. GCF of 40,918,668 is 2 .
LCM of Denominators means LCM of 298,142,604 as per the given fractions.
LCM of 298,142,604 is 6389716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,918,668
2 | 40, 918, 668 |
20, 459, 334 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 40,918,668 . The biggest common factor number is the GCF number.
So the greatest common factor 40,918,668 is 2.
Lets's calculate LCM of 298,142,604
2 | 298, 142, 604 |
149, 71, 302 |
∴ So the LCM of the given numbers is 2 x 149 x 71 x 302 = 6389716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6389716
Therefore, the GCF of Fractions 40/298,918/142,668/604 is 2/6389716
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 298,142,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,142,604) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(298,142,604) x common factors =2 x 2 = 4
LCM(298,142,604) = ( 298 × 142 × 604 ) / 4
LCM(298,142,604) = 25558864 / 4
LCM(298,142,604) = 6389716
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 40/298, 918/142, 668/604?
Answer: GCF of Numerators as per given numbers 40/298, 918/142, 668/604 is
GCF of Numerators i.e. for 40,918,668 is 2
LCM of denominators i.e. for 298,142,604 is 6389716.
Thus, GCF of Fractions is 2/6389716.Finally, GCF of Fractions for 40/298, 918/142, 668/604 is 2/6389716.