Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4325/426,6387/5717
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 4325,6387
Greatest Common Factor of Numerators i.e. GCF of 4325,6387 is 1 .
LCM of Denominators means LCM of 426,5717 as per the given fractions.
LCM of 426,5717 is 2435442 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4325,6387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4325
List of positive integer factors of 4325 that divides 4325 without a remainder.
1,5,25,173,865,4325
Factors of 6387
List of positive integer factors of 6387 that divides 6387 without a remainder.
1,3,2129,6387
Greatest Common Factor
We found the factors 4325,6387 . The biggest common factor number is the GCF number.
So the greatest common factor 4325,6387 is 1.
Lets's calculate LCM of 426,5717
Given numbers has no common factors except 1. So, there LCM is their product i.e 2435442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2435442
Therefore, the GCF of Fractions 4325/426,6387/5717 is 1/2435442
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 426,5717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,5717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(426,5717) x common factors =1 x 1 = 1
LCM(426,5717) = ( 426 × 5717 ) / 1
LCM(426,5717) = 2435442 / 1
LCM(426,5717) = 2435442
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 4325/426, 6387/5717?
Answer: GCF of Numerators as per given numbers 4325/426, 6387/5717 is
GCF of Numerators i.e. for 4325,6387 is 1
LCM of denominators i.e. for 426,5717 is 2435442.
Thus, GCF of Fractions is 1/2435442.Finally, GCF of Fractions for 4325/426, 6387/5717 is 1/2435442.