Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2403/620,2612/299
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 2403,2612
Greatest Common Factor of Numerators i.e. GCF of 2403,2612 is 1 .
LCM of Denominators means LCM of 620,299 as per the given fractions.
LCM of 620,299 is 185380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2403,2612
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2403
List of positive integer factors of 2403 that divides 2403 without a remainder.
1,3,9,27,89,267,801,2403
Factors of 2612
List of positive integer factors of 2612 that divides 2612 without a remainder.
1,2,4,653,1306,2612
Greatest Common Factor
We found the factors 2403,2612 . The biggest common factor number is the GCF number.
So the greatest common factor 2403,2612 is 1.
Lets's calculate LCM of 620,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 185380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185380
Therefore, the GCF of Fractions 2403/620,2612/299 is 1/185380
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 620,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,299) x common factors =1 x 1 = 1
LCM(620,299) = ( 620 × 299 ) / 1
LCM(620,299) = 185380 / 1
LCM(620,299) = 185380
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 2403/620, 2612/299?
Answer: GCF of Numerators as per given numbers 2403/620, 2612/299 is
GCF of Numerators i.e. for 2403,2612 is 1
LCM of denominators i.e. for 620,299 is 185380.
Thus, GCF of Fractions is 1/185380.Finally, GCF of Fractions for 2403/620, 2612/299 is 1/185380.