Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1592/365,4874/2197
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 1592,4874
Greatest Common Factor of Numerators i.e. GCF of 1592,4874 is 2 .
LCM of Denominators means LCM of 365,2197 as per the given fractions.
LCM of 365,2197 is 801905 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1592,4874
2 | 1592, 4874 |
796, 2437 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1592
List of positive integer factors of 1592 that divides 1592 without a remainder.
1,2,4,8,199,398,796,1592
Factors of 4874
List of positive integer factors of 4874 that divides 4874 without a remainder.
1,2,2437,4874
Greatest Common Factor
We found the factors 1592,4874 . The biggest common factor number is the GCF number.
So the greatest common factor 1592,4874 is 2.
Lets's calculate LCM of 365,2197
Given numbers has no common factors except 1. So, there LCM is their product i.e 801905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/801905
Therefore, the GCF of Fractions 1592/365,4874/2197 is 2/801905
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 365,2197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,2197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,2197) x common factors =1 x 1 = 1
LCM(365,2197) = ( 365 × 2197 ) / 1
LCM(365,2197) = 801905 / 1
LCM(365,2197) = 801905
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 1592/365, 4874/2197?
Answer: GCF of Numerators as per given numbers 1592/365, 4874/2197 is
GCF of Numerators i.e. for 1592,4874 is 2
LCM of denominators i.e. for 365,2197 is 801905.
Thus, GCF of Fractions is 2/801905.Finally, GCF of Fractions for 1592/365, 4874/2197 is 2/801905.