Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 159/62,1643/603
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 159,1643
Greatest Common Factor of Numerators i.e. GCF of 159,1643 is 53 .
LCM of Denominators means LCM of 62,603 as per the given fractions.
LCM of 62,603 is 37386 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 159,1643
53 | 159, 1643 |
3, 31 |
∴ So the GCF of the given numbers is 53 = 53
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 1643
List of positive integer factors of 1643 that divides 1643 without a remainder.
1,31,53,1643
Greatest Common Factor
We found the factors 159,1643 . The biggest common factor number is the GCF number.
So the greatest common factor 159,1643 is 53.
Lets's calculate LCM of 62,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 37386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/37386
Therefore, the GCF of Fractions 159/62,1643/603 is 53/37386
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 62,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,603) x common factors =1 x 1 = 1
LCM(62,603) = ( 62 × 603 ) / 1
LCM(62,603) = 37386 / 1
LCM(62,603) = 37386
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 159/62, 1643/603?
Answer: GCF of Numerators as per given numbers 159/62, 1643/603 is
GCF of Numerators i.e. for 159,1643 is 53
LCM of denominators i.e. for 62,603 is 37386.
Thus, GCF of Fractions is 53/37386.Finally, GCF of Fractions for 159/62, 1643/603 is 53/37386.