Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 400/5545,438/3331
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 400,438
Greatest Common Factor of Numerators i.e. GCF of 400,438 is 2 .
LCM of Denominators means LCM of 5545,3331 as per the given fractions.
LCM of 5545,3331 is 18470395 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 400,438
2 | 400, 438 |
200, 219 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 400,438 . The biggest common factor number is the GCF number.
So the greatest common factor 400,438 is 2.
Lets's calculate LCM of 5545,3331
Given numbers has no common factors except 1. So, there LCM is their product i.e 18470395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18470395
Therefore, the GCF of Fractions 400/5545,438/3331 is 2/18470395
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 5545,3331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5545,3331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5545,3331) x common factors =1 x 1 = 1
LCM(5545,3331) = ( 5545 × 3331 ) / 1
LCM(5545,3331) = 18470395 / 1
LCM(5545,3331) = 18470395
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 400/5545, 438/3331?
Answer: GCF of Numerators as per given numbers 400/5545, 438/3331 is
GCF of Numerators i.e. for 400,438 is 2
LCM of denominators i.e. for 5545,3331 is 18470395.
Thus, GCF of Fractions is 2/18470395.Finally, GCF of Fractions for 400/5545, 438/3331 is 2/18470395.