Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/39,422/68,949/462
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 700,422,949
Greatest Common Factor of Numerators i.e. GCF of 700,422,949 is 1 .
LCM of Denominators means LCM of 39,68,462 as per the given fractions.
LCM of 39,68,462 is 204204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 700,422,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Greatest Common Factor
We found the factors 700,422,949 . The biggest common factor number is the GCF number.
So the greatest common factor 700,422,949 is 1.
Lets's calculate LCM of 39,68,462
2 | 39, 68, 462 |
3 | 39, 34, 231 |
13, 34, 77 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 34 x 77 = 204204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204204
Therefore, the GCF of Fractions 700/39,422/68,949/462 is 1/204204
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 39,68,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,68,462) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(39,68,462) x common factors =1 x 6 = 6
LCM(39,68,462) = ( 39 × 68 × 462 ) / 6
LCM(39,68,462) = 1225224 / 6
LCM(39,68,462) = 204204
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 700/39, 422/68, 949/462?
Answer: GCF of Numerators as per given numbers 700/39, 422/68, 949/462 is
GCF of Numerators i.e. for 700,422,949 is 1
LCM of denominators i.e. for 39,68,462 is 204204.
Thus, GCF of Fractions is 1/204204.Finally, GCF of Fractions for 700/39, 422/68, 949/462 is 1/204204.