GCD of 354, 634, 358, 509 Calculator

Given Input numbers are 354, 634, 358, 509

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 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 358 :

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

1, 2, 179, 358

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (354, 634, 358, 509) = 1.

Given numbers are 354, 634, 358, 509

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 634 are 2 x 317

Prime factors of 358 are 2 x 179

Prime factors of 509 are 509

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 354, 634, 358, 509

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

Apply this formula for all numbers.

Step1:

LCM(354, 634) = 112218

GCD(354, 634) = ( 354 x 634 ) / 112218

= 354 / 634

= 354

Step2:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

Step3:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

So, Greatest Common Divisor of 354, 634, 358, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 368, 761, 378
• GCD of 144, 768, 227, 629
• GCD of 150, 393, 120, 333
• GCD of 406, 155, 623, 700
• GCD of 816, 908, 578, 723

Given numbers are 354, 634, 358, 509
The greatest common divisor of numbers 354, 634, 358, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 634, 358, 509 is 1.

1. What is the GCD of 354, 634, 358, 509?

GCD of given numbers 354, 634, 358, 509 is 1

2. How to calculate the greatest common divisor of 354, 634, 358, 509?

We can find the highest common divisor of 354, 634, 358, 509 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, 634, 358, 509 i.e 1.

3. How can I use the GCD of 354, 634, 358, 509Calculator?

Out the numbers 354, 634, 358, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.