Online GCD Calculator is useful to find the GCD of 150, 450, 736, 502 quickly. Get the easiest ways to solve the greatest common divisor of 150, 450, 736, 502 i.e 2 in different methods as follows.
Given Input numbers are 150, 450, 736, 502
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
GCD of numbers is the greatest common divisor
So, the GCD (150, 450, 736, 502) = 2.
Given numbers are 150, 450, 736, 502
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 502 are 2 x 251
The highest common occurrence is 21
Therefore, GCD of 150, 450, 736, 502 is 2.
Given numbers are 150, 450, 736, 502
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 450) = 450
GCD(150, 450) = ( 150 x 450 ) / 450
= 150 / 450
= 150
Step2:
LCM(150, 736) = 55200
GCD(150, 736) = ( 150 x 736 ) / 55200
= 150 / 736
= 150
Step3:
LCM(2, 502) = 502
GCD(2, 502) = ( 2 x 502 ) / 502
= 2 / 502
= 2
So, Greatest Common Divisor of 150, 450, 736, 502 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 450, 736, 502
The greatest common divisor of numbers 150, 450, 736, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 450, 736, 502 is 2.
1. What is the GCD of 150, 450, 736, 502?
GCD of given numbers 150, 450, 736, 502 is 2
2. How to calculate the greatest common divisor of 150, 450, 736, 502?
We can find the highest common divisor of 150, 450, 736, 502 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 150, 450, 736, 502 i.e 2.
3. How can I use the GCD of 150, 450, 736, 502Calculator?
Out the numbers 150, 450, 736, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.