Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 466/7403,640/7405
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 466,640
Greatest Common Factor of Numerators i.e. GCF of 466,640 is 2 .
LCM of Denominators means LCM of 7403,7405 as per the given fractions.
LCM of 7403,7405 is 54819215 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 466,640
2 | 466, 640 |
233, 320 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 466,640 . The biggest common factor number is the GCF number.
So the greatest common factor 466,640 is 2.
Lets's calculate LCM of 7403,7405
Given numbers has no common factors except 1. So, there LCM is their product i.e 54819215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54819215
Therefore, the GCF of Fractions 466/7403,640/7405 is 2/54819215
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 7403,7405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7403,7405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7403,7405) x common factors =1 x 1 = 1
LCM(7403,7405) = ( 7403 × 7405 ) / 1
LCM(7403,7405) = 54819215 / 1
LCM(7403,7405) = 54819215
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 466/7403, 640/7405?
Answer: GCF of Numerators as per given numbers 466/7403, 640/7405 is
GCF of Numerators i.e. for 466,640 is 2
LCM of denominators i.e. for 7403,7405 is 54819215.
Thus, GCF of Fractions is 2/54819215.Finally, GCF of Fractions for 466/7403, 640/7405 is 2/54819215.