GCD of 689, 909, 352, 480 Calculator

Given Input numbers are 689, 909, 352, 480

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (689, 909, 352, 480) = 1.

Given numbers are 689, 909, 352, 480

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 909 are 3 x 3 x 101

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 689, 909, 352, 480

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

Apply this formula for all numbers.

Step1:

LCM(689, 909) = 626301

GCD(689, 909) = ( 689 x 909 ) / 626301

= 689 / 909

= 689

Step2:

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

= 1 / 352

= 1

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 689, 909, 352, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 492, 794, 491
• GCD of 611, 720, 648, 470
• GCD of 442, 405, 799, 954
• GCD of 299, 529, 721, 753
• GCD of 835, 938, 753, 404

Given numbers are 689, 909, 352, 480
The greatest common divisor of numbers 689, 909, 352, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 909, 352, 480 is 1.

1. What is the GCD of 689, 909, 352, 480?

GCD of given numbers 689, 909, 352, 480 is 1

2. How to calculate the greatest common divisor of 689, 909, 352, 480?

We can find the highest common divisor of 689, 909, 352, 480 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, 909, 352, 480 i.e 1.

3. How can I use the GCD of 689, 909, 352, 480Calculator?

Out the numbers 689, 909, 352, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.