Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 315/61,303/59,440/222
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 315,303,440
Greatest Common Factor of Numerators i.e. GCF of 315,303,440 is 1 .
LCM of Denominators means LCM of 61,59,222 as per the given fractions.
LCM of 61,59,222 is 798978 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 315,303,440
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 315,303,440 . The biggest common factor number is the GCF number.
So the greatest common factor 315,303,440 is 1.
Lets's calculate LCM of 61,59,222
Given numbers has no common factors except 1. So, there LCM is their product i.e 798978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/798978
Therefore, the GCF of Fractions 315/61,303/59,440/222 is 1/798978
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 61,59,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,59,222) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,59,222) x common factors =1 x 1 = 1
LCM(61,59,222) = ( 61 × 59 × 222 ) / 1
LCM(61,59,222) = 798978 / 1
LCM(61,59,222) = 798978
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 315/61, 303/59, 440/222?
Answer: GCF of Numerators as per given numbers 315/61, 303/59, 440/222 is
GCF of Numerators i.e. for 315,303,440 is 1
LCM of denominators i.e. for 61,59,222 is 798978.
Thus, GCF of Fractions is 1/798978.Finally, GCF of Fractions for 315/61, 303/59, 440/222 is 1/798978.