Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/671,609/683
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 648,609
Greatest Common Factor of Numerators i.e. GCF of 648,609 is 3 .
LCM of Denominators means LCM of 671,683 as per the given fractions.
LCM of 671,683 is 458293 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 648,609
3 | 648, 609 |
216, 203 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 648,609 . The biggest common factor number is the GCF number.
So the greatest common factor 648,609 is 3.
Lets's calculate LCM of 671,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 458293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/458293
Therefore, the GCF of Fractions 648/671,609/683 is 3/458293
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 671,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,683) x common factors =1 x 1 = 1
LCM(671,683) = ( 671 × 683 ) / 1
LCM(671,683) = 458293 / 1
LCM(671,683) = 458293
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 648/671, 609/683?
Answer: GCF of Numerators as per given numbers 648/671, 609/683 is
GCF of Numerators i.e. for 648,609 is 3
LCM of denominators i.e. for 671,683 is 458293.
Thus, GCF of Fractions is 3/458293.Finally, GCF of Fractions for 648/671, 609/683 is 3/458293.