Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/67,507/55,597/16
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 483,507,597
Greatest Common Factor of Numerators i.e. GCF of 483,507,597 is 3 .
LCM of Denominators means LCM of 67,55,16 as per the given fractions.
LCM of 67,55,16 is 58960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 483,507,597
3 | 483, 507, 597 |
161, 169, 199 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Greatest Common Factor
We found the factors 483,507,597 . The biggest common factor number is the GCF number.
So the greatest common factor 483,507,597 is 3.
Lets's calculate LCM of 67,55,16
Given numbers has no common factors except 1. So, there LCM is their product i.e 58960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58960
Therefore, the GCF of Fractions 483/67,507/55,597/16 is 3/58960
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 67,55,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,55,16) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,55,16) x common factors =1 x 1 = 1
LCM(67,55,16) = ( 67 × 55 × 16 ) / 1
LCM(67,55,16) = 58960 / 1
LCM(67,55,16) = 58960
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 483/67, 507/55, 597/16?
Answer: GCF of Numerators as per given numbers 483/67, 507/55, 597/16 is
GCF of Numerators i.e. for 483,507,597 is 3
LCM of denominators i.e. for 67,55,16 is 58960.
Thus, GCF of Fractions is 3/58960.Finally, GCF of Fractions for 483/67, 507/55, 597/16 is 3/58960.