Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 407/55,462/54,870/997
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 407,462,870
Greatest Common Factor of Numerators i.e. GCF of 407,462,870 is 1 .
LCM of Denominators means LCM of 55,54,997 as per the given fractions.
LCM of 55,54,997 is 2961090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 407,462,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 407,462,870 . The biggest common factor number is the GCF number.
So the greatest common factor 407,462,870 is 1.
Lets's calculate LCM of 55,54,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 2961090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2961090
Therefore, the GCF of Fractions 407/55,462/54,870/997 is 1/2961090
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 55,54,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,54,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,54,997) x common factors =1 x 1 = 1
LCM(55,54,997) = ( 55 × 54 × 997 ) / 1
LCM(55,54,997) = 2961090 / 1
LCM(55,54,997) = 2961090
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 407/55, 462/54, 870/997?
Answer: GCF of Numerators as per given numbers 407/55, 462/54, 870/997 is
GCF of Numerators i.e. for 407,462,870 is 1
LCM of denominators i.e. for 55,54,997 is 2961090.
Thus, GCF of Fractions is 1/2961090.Finally, GCF of Fractions for 407/55, 462/54, 870/997 is 1/2961090.