Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 993/22,407/35,682/47
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 993,407,682
Greatest Common Factor of Numerators i.e. GCF of 993,407,682 is 1 .
LCM of Denominators means LCM of 22,35,47 as per the given fractions.
LCM of 22,35,47 is 36190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 993,407,682
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 993,407,682 . The biggest common factor number is the GCF number.
So the greatest common factor 993,407,682 is 1.
Lets's calculate LCM of 22,35,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 36190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36190
Therefore, the GCF of Fractions 993/22,407/35,682/47 is 1/36190
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 22,35,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,35,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,35,47) x common factors =1 x 1 = 1
LCM(22,35,47) = ( 22 × 35 × 47 ) / 1
LCM(22,35,47) = 36190 / 1
LCM(22,35,47) = 36190
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 993/22, 407/35, 682/47?
Answer: GCF of Numerators as per given numbers 993/22, 407/35, 682/47 is
GCF of Numerators i.e. for 993,407,682 is 1
LCM of denominators i.e. for 22,35,47 is 36190.
Thus, GCF of Fractions is 1/36190.Finally, GCF of Fractions for 993/22, 407/35, 682/47 is 1/36190.