Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 598/9583,507/6110
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 598,507
Greatest Common Factor of Numerators i.e. GCF of 598,507 is 13 .
LCM of Denominators means LCM of 9583,6110 as per the given fractions.
LCM of 9583,6110 is 58552130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 598,507
13 | 598, 507 |
46, 39 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 598,507 . The biggest common factor number is the GCF number.
So the greatest common factor 598,507 is 13.
Lets's calculate LCM of 9583,6110
Given numbers has no common factors except 1. So, there LCM is their product i.e 58552130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/58552130
Therefore, the GCF of Fractions 598/9583,507/6110 is 13/58552130
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 9583,6110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9583,6110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9583,6110) x common factors =1 x 1 = 1
LCM(9583,6110) = ( 9583 × 6110 ) / 1
LCM(9583,6110) = 58552130 / 1
LCM(9583,6110) = 58552130
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 598/9583, 507/6110?
Answer: GCF of Numerators as per given numbers 598/9583, 507/6110 is
GCF of Numerators i.e. for 598,507 is 13
LCM of denominators i.e. for 9583,6110 is 58552130.
Thus, GCF of Fractions is 13/58552130.Finally, GCF of Fractions for 598/9583, 507/6110 is 13/58552130.