Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/25,559/87,530/946
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 396,559,530
Greatest Common Factor of Numerators i.e. GCF of 396,559,530 is 1 .
LCM of Denominators means LCM of 25,87,946 as per the given fractions.
LCM of 25,87,946 is 2057550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 396,559,530
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 396,559,530 . The biggest common factor number is the GCF number.
So the greatest common factor 396,559,530 is 1.
Lets's calculate LCM of 25,87,946
Given numbers has no common factors except 1. So, there LCM is their product i.e 2057550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2057550
Therefore, the GCF of Fractions 396/25,559/87,530/946 is 1/2057550
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 25,87,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,87,946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,87,946) x common factors =1 x 1 = 1
LCM(25,87,946) = ( 25 × 87 × 946 ) / 1
LCM(25,87,946) = 2057550 / 1
LCM(25,87,946) = 2057550
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 396/25, 559/87, 530/946?
Answer: GCF of Numerators as per given numbers 396/25, 559/87, 530/946 is
GCF of Numerators i.e. for 396,559,530 is 1
LCM of denominators i.e. for 25,87,946 is 2057550.
Thus, GCF of Fractions is 1/2057550.Finally, GCF of Fractions for 396/25, 559/87, 530/946 is 1/2057550.