Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5872/604,1853/306
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 5872,1853
Greatest Common Factor of Numerators i.e. GCF of 5872,1853 is 1 .
LCM of Denominators means LCM of 604,306 as per the given fractions.
LCM of 604,306 is 92412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5872,1853
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5872
List of positive integer factors of 5872 that divides 5872 without a remainder.
1,2,4,8,16,367,734,1468,2936,5872
Factors of 1853
List of positive integer factors of 1853 that divides 1853 without a remainder.
1,17,109,1853
Greatest Common Factor
We found the factors 5872,1853 . The biggest common factor number is the GCF number.
So the greatest common factor 5872,1853 is 1.
Lets's calculate LCM of 604,306
2 | 604, 306 |
302, 153 |
∴ So the LCM of the given numbers is 2 x 302 x 153 = 92412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92412
Therefore, the GCF of Fractions 5872/604,1853/306 is 1/92412
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 604,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(604,306) x common factors =2 x 1 = 2
LCM(604,306) = ( 604 × 306 ) / 2
LCM(604,306) = 184824 / 2
LCM(604,306) = 92412
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 5872/604, 1853/306?
Answer: GCF of Numerators as per given numbers 5872/604, 1853/306 is
GCF of Numerators i.e. for 5872,1853 is 1
LCM of denominators i.e. for 604,306 is 92412.
Thus, GCF of Fractions is 1/92412.Finally, GCF of Fractions for 5872/604, 1853/306 is 1/92412.