Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/406,14/697
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 62,14
Greatest Common Factor of Numerators i.e. GCF of 62,14 is 2 .
LCM of Denominators means LCM of 406,697 as per the given fractions.
LCM of 406,697 is 282982 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,14
2 | 62, 14 |
31, 7 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Greatest Common Factor
We found the factors 62,14 . The biggest common factor number is the GCF number.
So the greatest common factor 62,14 is 2.
Lets's calculate LCM of 406,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 282982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/282982
Therefore, the GCF of Fractions 62/406,14/697 is 2/282982
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 406,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,697) x common factors =1 x 1 = 1
LCM(406,697) = ( 406 × 697 ) / 1
LCM(406,697) = 282982 / 1
LCM(406,697) = 282982
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 62/406, 14/697?
Answer: GCF of Numerators as per given numbers 62/406, 14/697 is
GCF of Numerators i.e. for 62,14 is 2
LCM of denominators i.e. for 406,697 is 282982.
Thus, GCF of Fractions is 2/282982.Finally, GCF of Fractions for 62/406, 14/697 is 2/282982.