GCD of 689, 136, 960, 280 Calculator

Given Input numbers are 689, 136, 960, 280

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (689, 136, 960, 280) = 1.

Given numbers are 689, 136, 960, 280

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 689, 136, 960, 280

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

Apply this formula for all numbers.

Step1:

LCM(689, 136) = 93704

GCD(689, 136) = ( 689 x 136 ) / 93704

= 689 / 136

= 689

Step2:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 689, 136, 960, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 599, 748, 608
• GCD of 531, 960, 741, 926
• GCD of 914, 474, 865, 435
• GCD of 793, 913, 544, 401
• GCD of 141, 489, 536, 302

Given numbers are 689, 136, 960, 280
The greatest common divisor of numbers 689, 136, 960, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 136, 960, 280 is 1.

1. What is the GCD of 689, 136, 960, 280?

GCD of given numbers 689, 136, 960, 280 is 1

2. How to calculate the greatest common divisor of 689, 136, 960, 280?

We can find the highest common divisor of 689, 136, 960, 280 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, 136, 960, 280 i.e 1.

3. How can I use the GCD of 689, 136, 960, 280Calculator?

Out the numbers 689, 136, 960, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.