Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/221,690/406,767/808
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 40,690,767
Greatest Common Factor of Numerators i.e. GCF of 40,690,767 is 1 .
LCM of Denominators means LCM of 221,406,808 as per the given fractions.
LCM of 221,406,808 is 36249304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,690,767
∴ So GCF of numbers is 1 because of no common factors present between them.
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 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 40,690,767 . The biggest common factor number is the GCF number.
So the greatest common factor 40,690,767 is 1.
Lets's calculate LCM of 221,406,808
2 | 221, 406, 808 |
221, 203, 404 |
∴ So the LCM of the given numbers is 2 x 221 x 203 x 404 = 36249304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36249304
Therefore, the GCF of Fractions 40/221,690/406,767/808 is 1/36249304
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 221,406,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,406,808) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(221,406,808) x common factors =1 x 2 = 2
LCM(221,406,808) = ( 221 × 406 × 808 ) / 2
LCM(221,406,808) = 72498608 / 2
LCM(221,406,808) = 36249304
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 40/221, 690/406, 767/808?
Answer: GCF of Numerators as per given numbers 40/221, 690/406, 767/808 is
GCF of Numerators i.e. for 40,690,767 is 1
LCM of denominators i.e. for 221,406,808 is 36249304.
Thus, GCF of Fractions is 1/36249304.Finally, GCF of Fractions for 40/221, 690/406, 767/808 is 1/36249304.