GCD of 689, 632, 506, 880 Calculator

Given Input numbers are 689, 632, 506, 880

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 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

GCD of numbers is the greatest common divisor

So, the GCD (689, 632, 506, 880) = 1.

Given numbers are 689, 632, 506, 880

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 506 are 2 x 11 x 23

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

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

Given numbers are 689, 632, 506, 880

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

Apply this formula for all numbers.

Step1:

LCM(689, 632) = 435448

GCD(689, 632) = ( 689 x 632 ) / 435448

= 689 / 632

= 689

Step2:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

Step3:

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

= 1 / 880

= 1

So, Greatest Common Divisor of 689, 632, 506, 880 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 625, 114, 219
• GCD of 856, 635, 365, 650
• GCD of 610, 332, 297, 676
• GCD of 489, 271, 124, 310
• GCD of 980, 689, 522, 784

Given numbers are 689, 632, 506, 880
The greatest common divisor of numbers 689, 632, 506, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 632, 506, 880 is 1.

1. What is the GCD of 689, 632, 506, 880?

GCD of given numbers 689, 632, 506, 880 is 1

2. How to calculate the greatest common divisor of 689, 632, 506, 880?

We can find the highest common divisor of 689, 632, 506, 880 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, 632, 506, 880 i.e 1.

3. How can I use the GCD of 689, 632, 506, 880Calculator?

Out the numbers 689, 632, 506, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.