Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 719/22,673/7533
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 719,673
Greatest Common Factor of Numerators i.e. GCF of 719,673 is 1 .
LCM of Denominators means LCM of 22,7533 as per the given fractions.
LCM of 22,7533 is 165726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 719,673
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Greatest Common Factor
We found the factors 719,673 . The biggest common factor number is the GCF number.
So the greatest common factor 719,673 is 1.
Lets's calculate LCM of 22,7533
Given numbers has no common factors except 1. So, there LCM is their product i.e 165726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165726
Therefore, the GCF of Fractions 719/22,673/7533 is 1/165726
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 22,7533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,7533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,7533) x common factors =1 x 1 = 1
LCM(22,7533) = ( 22 × 7533 ) / 1
LCM(22,7533) = 165726 / 1
LCM(22,7533) = 165726
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 719/22, 673/7533?
Answer: GCF of Numerators as per given numbers 719/22, 673/7533 is
GCF of Numerators i.e. for 719,673 is 1
LCM of denominators i.e. for 22,7533 is 165726.
Thus, GCF of Fractions is 1/165726.Finally, GCF of Fractions for 719/22, 673/7533 is 1/165726.