Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/241,602/568
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 848,602
Greatest Common Factor of Numerators i.e. GCF of 848,602 is 2 .
LCM of Denominators means LCM of 241,568 as per the given fractions.
LCM of 241,568 is 136888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,602
2 | 848, 602 |
424, 301 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
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 848,602 . The biggest common factor number is the GCF number.
So the greatest common factor 848,602 is 2.
Lets's calculate LCM of 241,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 136888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136888
Therefore, the GCF of Fractions 848/241,602/568 is 2/136888
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 241,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,568) x common factors =1 x 1 = 1
LCM(241,568) = ( 241 × 568 ) / 1
LCM(241,568) = 136888 / 1
LCM(241,568) = 136888
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 848/241, 602/568?
Answer: GCF of Numerators as per given numbers 848/241, 602/568 is
GCF of Numerators i.e. for 848,602 is 2
LCM of denominators i.e. for 241,568 is 136888.
Thus, GCF of Fractions is 2/136888.Finally, GCF of Fractions for 848/241, 602/568 is 2/136888.