Online GCD Calculator is useful to find the GCD of 692, 450, 738, 358 quickly. Get the easiest ways to solve the greatest common divisor of 692, 450, 738, 358 i.e 2 in different methods as follows.
Given Input numbers are 692, 450, 738, 358
In the factoring method, we have to find the divisors of all numbers
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
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 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (692, 450, 738, 358) = 2.
Given numbers are 692, 450, 738, 358
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 358 are 2 x 179
The highest common occurrence is 21
Therefore, GCD of 692, 450, 738, 358 is 2.
Given numbers are 692, 450, 738, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 450) = 155700
GCD(692, 450) = ( 692 x 450 ) / 155700
= 692 / 450
= 692
Step2:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
Step3:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
So, Greatest Common Divisor of 692, 450, 738, 358 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 450, 738, 358
The greatest common divisor of numbers 692, 450, 738, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 450, 738, 358 is 2.
1. What is the GCD of 692, 450, 738, 358?
GCD of given numbers 692, 450, 738, 358 is 2
2. How to calculate the greatest common divisor of 692, 450, 738, 358?
We can find the highest common divisor of 692, 450, 738, 358 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 692, 450, 738, 358 i.e 2.
3. How can I use the GCD of 692, 450, 738, 358Calculator?
Out the numbers 692, 450, 738, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.