Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/13,36/25,495/822
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 62,36,495
Greatest Common Factor of Numerators i.e. GCF of 62,36,495 is 1 .
LCM of Denominators means LCM of 13,25,822 as per the given fractions.
LCM of 13,25,822 is 267150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,36,495
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 62,36,495 . The biggest common factor number is the GCF number.
So the greatest common factor 62,36,495 is 1.
Lets's calculate LCM of 13,25,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 267150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267150
Therefore, the GCF of Fractions 62/13,36/25,495/822 is 1/267150
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 13,25,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,25,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,25,822) x common factors =1 x 1 = 1
LCM(13,25,822) = ( 13 × 25 × 822 ) / 1
LCM(13,25,822) = 267150 / 1
LCM(13,25,822) = 267150
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 62/13, 36/25, 495/822?
Answer: GCF of Numerators as per given numbers 62/13, 36/25, 495/822 is
GCF of Numerators i.e. for 62,36,495 is 1
LCM of denominators i.e. for 13,25,822 is 267150.
Thus, GCF of Fractions is 1/267150.Finally, GCF of Fractions for 62/13, 36/25, 495/822 is 1/267150.