GCD of 358, 746, 210, 324 Calculator

Given Input numbers are 358, 746, 210, 324

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (358, 746, 210, 324) = 2.

Given numbers are 358, 746, 210, 324

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 746 are 2 x 373

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 358, 746, 210, 324 is 2.

Given numbers are 358, 746, 210, 324

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

Apply this formula for all numbers.

Step1:

LCM(358, 746) = 133534

GCD(358, 746) = ( 358 x 746 ) / 133534

= 358 / 746

= 358

Step2:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2

Step3:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

So, Greatest Common Divisor of 358, 746, 210, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 414, 862, 816
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Given numbers are 358, 746, 210, 324
The greatest common divisor of numbers 358, 746, 210, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 746, 210, 324 is 2.

1. What is the GCD of 358, 746, 210, 324?

GCD of given numbers 358, 746, 210, 324 is 2

2. How to calculate the greatest common divisor of 358, 746, 210, 324?

We can find the highest common divisor of 358, 746, 210, 324 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 358, 746, 210, 324 i.e 2.

3. How can I use the GCD of 358, 746, 210, 324Calculator?

Out the numbers 358, 746, 210, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.