GCD of 689, 216, 476, 354 Calculator

Given Input numbers are 689, 216, 476, 354

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (689, 216, 476, 354) = 1.

Given numbers are 689, 216, 476, 354

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 354 are 2 x 3 x 59

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

Given numbers are 689, 216, 476, 354

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

Apply this formula for all numbers.

Step1:

LCM(689, 216) = 148824

GCD(689, 216) = ( 689 x 216 ) / 148824

= 689 / 216

= 689

Step2:

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

= 1 / 476

= 1

Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1

So, Greatest Common Divisor of 689, 216, 476, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 979, 496, 351
• GCD of 498, 675, 799, 617
• GCD of 324, 495, 359, 550
• GCD of 324, 772, 194, 771
• GCD of 178, 240, 132, 586

Given numbers are 689, 216, 476, 354
The greatest common divisor of numbers 689, 216, 476, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 216, 476, 354 is 1.

1. What is the GCD of 689, 216, 476, 354?

GCD of given numbers 689, 216, 476, 354 is 1

2. How to calculate the greatest common divisor of 689, 216, 476, 354?

We can find the highest common divisor of 689, 216, 476, 354 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 689, 216, 476, 354 i.e 1.

3. How can I use the GCD of 689, 216, 476, 354Calculator?

Out the numbers 689, 216, 476, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.