Online GCD Calculator is useful to find the GCD of 354, 608, 723, 150 quickly. Get the easiest ways to solve the greatest common divisor of 354, 608, 723, 150 i.e 1 in different methods as follows.
Given Input numbers are 354, 608, 723, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
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
GCD of numbers is the greatest common divisor
So, the GCD (354, 608, 723, 150) = 1.
Given numbers are 354, 608, 723, 150
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 723 are 3 x 241
Prime factors of 150 are 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 354, 608, 723, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 608) = 107616
GCD(354, 608) = ( 354 x 608 ) / 107616
= 354 / 608
= 354
Step2:
LCM(2, 723) = 1446
GCD(2, 723) = ( 2 x 723 ) / 1446
= 2 / 723
= 2
Step3:
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
= 1 / 150
= 1
So, Greatest Common Divisor of 354, 608, 723, 150 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 608, 723, 150
The greatest common divisor of numbers 354, 608, 723, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 608, 723, 150 is 1.
1. What is the GCD of 354, 608, 723, 150?
GCD of given numbers 354, 608, 723, 150 is 1
2. How to calculate the greatest common divisor of 354, 608, 723, 150?
We can find the highest common divisor of 354, 608, 723, 150 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 354, 608, 723, 150 i.e 1.
3. How can I use the GCD of 354, 608, 723, 150Calculator?
Out the numbers 354, 608, 723, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.