Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4713/609,5045/7705
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 4713,5045
Greatest Common Factor of Numerators i.e. GCF of 4713,5045 is 1 .
LCM of Denominators means LCM of 609,7705 as per the given fractions.
LCM of 609,7705 is 4692345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4713,5045
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4713
List of positive integer factors of 4713 that divides 4713 without a remainder.
1,3,1571,4713
Factors of 5045
List of positive integer factors of 5045 that divides 5045 without a remainder.
1,5,1009,5045
Greatest Common Factor
We found the factors 4713,5045 . The biggest common factor number is the GCF number.
So the greatest common factor 4713,5045 is 1.
Lets's calculate LCM of 609,7705
Given numbers has no common factors except 1. So, there LCM is their product i.e 4692345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4692345
Therefore, the GCF of Fractions 4713/609,5045/7705 is 1/4692345
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 609,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,7705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,7705) x common factors =1 x 1 = 1
LCM(609,7705) = ( 609 × 7705 ) / 1
LCM(609,7705) = 4692345 / 1
LCM(609,7705) = 4692345
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 4713/609, 5045/7705?
Answer: GCF of Numerators as per given numbers 4713/609, 5045/7705 is
GCF of Numerators i.e. for 4713,5045 is 1
LCM of denominators i.e. for 609,7705 is 4692345.
Thus, GCF of Fractions is 1/4692345.Finally, GCF of Fractions for 4713/609, 5045/7705 is 1/4692345.