GCD of 356, 450, 664, 166 Calculator

Given Input numbers are 356, 450, 664, 166

In the factoring method, we have to find the divisors of all numbers

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

GCD of numbers is the greatest common divisor

So, the GCD (356, 450, 664, 166) = 2.

Given numbers are 356, 450, 664, 166

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 166 are 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 356, 450, 664, 166 is 2.

Given numbers are 356, 450, 664, 166

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(356, 450) = 80100

GCD(356, 450) = ( 356 x 450 ) / 80100

= 356 / 450

= 356

Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

Step3:

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

= 2 / 166

= 2

So, Greatest Common Divisor of 356, 450, 664, 166 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 276, 456, 360
• GCD of 187, 794, 952, 243
• GCD of 981, 175, 516, 249
• GCD of 194, 220, 499, 889
• GCD of 905, 648, 385, 356

Given numbers are 356, 450, 664, 166
The greatest common divisor of numbers 356, 450, 664, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 450, 664, 166 is 2.

1. What is the GCD of 356, 450, 664, 166?

GCD of given numbers 356, 450, 664, 166 is 2

2. How to calculate the greatest common divisor of 356, 450, 664, 166?

We can find the highest common divisor of 356, 450, 664, 166 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 356, 450, 664, 166 i.e 2.

3. How can I use the GCD of 356, 450, 664, 166Calculator?

Out the numbers 356, 450, 664, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.