Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/591,620/658
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 93,620
Greatest Common Factor of Numerators i.e. GCF of 93,620 is 31 .
LCM of Denominators means LCM of 591,658 as per the given fractions.
LCM of 591,658 is 388878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,620
31 | 93, 620 |
3, 20 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 93,620 . The biggest common factor number is the GCF number.
So the greatest common factor 93,620 is 31.
Lets's calculate LCM of 591,658
Given numbers has no common factors except 1. So, there LCM is their product i.e 388878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/388878
Therefore, the GCF of Fractions 93/591,620/658 is 31/388878
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 591,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,658) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,658) x common factors =1 x 1 = 1
LCM(591,658) = ( 591 × 658 ) / 1
LCM(591,658) = 388878 / 1
LCM(591,658) = 388878
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 93/591, 620/658?
Answer: GCF of Numerators as per given numbers 93/591, 620/658 is
GCF of Numerators i.e. for 93,620 is 31
LCM of denominators i.e. for 591,658 is 388878.
Thus, GCF of Fractions is 31/388878.Finally, GCF of Fractions for 93/591, 620/658 is 31/388878.