Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 408/251,6222/335
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 408,6222
Greatest Common Factor of Numerators i.e. GCF of 408,6222 is 102 .
LCM of Denominators means LCM of 251,335 as per the given fractions.
LCM of 251,335 is 84085 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 408,6222
2 | 408, 6222 |
3 | 204, 3111 |
17 | 68, 1037 |
4, 61 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 6222
List of positive integer factors of 6222 that divides 6222 without a remainder.
1,2,3,6,17,34,51,61,102,122,183,366,1037,2074,3111,6222
Greatest Common Factor
We found the factors 408,6222 . The biggest common factor number is the GCF number.
So the greatest common factor 408,6222 is 102.
Lets's calculate LCM of 251,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 84085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/84085
Therefore, the GCF of Fractions 408/251,6222/335 is 102/84085
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 251,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,335) x common factors =1 x 1 = 1
LCM(251,335) = ( 251 × 335 ) / 1
LCM(251,335) = 84085 / 1
LCM(251,335) = 84085
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 408/251, 6222/335?
Answer: GCF of Numerators as per given numbers 408/251, 6222/335 is
GCF of Numerators i.e. for 408,6222 is 102
LCM of denominators i.e. for 251,335 is 84085.
Thus, GCF of Fractions is 102/84085.Finally, GCF of Fractions for 408/251, 6222/335 is 102/84085.