Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/55,195/63,838/821
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 594,195,838
Greatest Common Factor of Numerators i.e. GCF of 594,195,838 is 1 .
LCM of Denominators means LCM of 55,63,821 as per the given fractions.
LCM of 55,63,821 is 2844765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,195,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 594,195,838 . The biggest common factor number is the GCF number.
So the greatest common factor 594,195,838 is 1.
Lets's calculate LCM of 55,63,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 2844765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2844765
Therefore, the GCF of Fractions 594/55,195/63,838/821 is 1/2844765
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 55,63,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,63,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,63,821) x common factors =1 x 1 = 1
LCM(55,63,821) = ( 55 × 63 × 821 ) / 1
LCM(55,63,821) = 2844765 / 1
LCM(55,63,821) = 2844765
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 594/55, 195/63, 838/821?
Answer: GCF of Numerators as per given numbers 594/55, 195/63, 838/821 is
GCF of Numerators i.e. for 594,195,838 is 1
LCM of denominators i.e. for 55,63,821 is 2844765.
Thus, GCF of Fractions is 1/2844765.Finally, GCF of Fractions for 594/55, 195/63, 838/821 is 1/2844765.