Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 244/245,667/465,602/395
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 244,667,602
Greatest Common Factor of Numerators i.e. GCF of 244,667,602 is 1 .
LCM of Denominators means LCM of 245,465,395 as per the given fractions.
LCM of 245,465,395 is 1800015 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 244,667,602
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 244,667,602 . The biggest common factor number is the GCF number.
So the greatest common factor 244,667,602 is 1.
Lets's calculate LCM of 245,465,395
5 | 245, 465, 395 |
49, 93, 79 |
∴ So the LCM of the given numbers is 5 x 49 x 93 x 79 = 1800015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1800015
Therefore, the GCF of Fractions 244/245,667/465,602/395 is 1/1800015
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 245,465,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,465,395) = 5
common factors(in case of two or more numbers have common factors) = 5
GCF(245,465,395) x common factors =5 x 5 = 25
LCM(245,465,395) = ( 245 × 465 × 395 ) / 25
LCM(245,465,395) = 45000375 / 25
LCM(245,465,395) = 1800015
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 244/245, 667/465, 602/395?
Answer: GCF of Numerators as per given numbers 244/245, 667/465, 602/395 is
GCF of Numerators i.e. for 244,667,602 is 1
LCM of denominators i.e. for 245,465,395 is 1800015.
Thus, GCF of Fractions is 1/1800015.Finally, GCF of Fractions for 244/245, 667/465, 602/395 is 1/1800015.