Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 573/955,2160/331
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 573,2160
Greatest Common Factor of Numerators i.e. GCF of 573,2160 is 3 .
LCM of Denominators means LCM of 955,331 as per the given fractions.
LCM of 955,331 is 316105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 573,2160
3 | 573, 2160 |
191, 720 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 2160
List of positive integer factors of 2160 that divides 2160 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160
Greatest Common Factor
We found the factors 573,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 573,2160 is 3.
Lets's calculate LCM of 955,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 316105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/316105
Therefore, the GCF of Fractions 573/955,2160/331 is 3/316105
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 955,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,331) x common factors =1 x 1 = 1
LCM(955,331) = ( 955 × 331 ) / 1
LCM(955,331) = 316105 / 1
LCM(955,331) = 316105
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 573/955, 2160/331?
Answer: GCF of Numerators as per given numbers 573/955, 2160/331 is
GCF of Numerators i.e. for 573,2160 is 3
LCM of denominators i.e. for 955,331 is 316105.
Thus, GCF of Fractions is 3/316105.Finally, GCF of Fractions for 573/955, 2160/331 is 3/316105.