GCD of 280, 468, 712, 689 Calculator

Given Input numbers are 280, 468, 712, 689

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

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (280, 468, 712, 689) = 1.

Given numbers are 280, 468, 712, 689

The list of prime factors of all numbers are

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 689 are 13 x 53

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

Given numbers are 280, 468, 712, 689

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

Apply this formula for all numbers.

Step1:

LCM(280, 468) = 32760

GCD(280, 468) = ( 280 x 468 ) / 32760

= 280 / 468

= 280

Step2:

LCM(4, 712) = 712

GCD(4, 712) = ( 4 x 712 ) / 712

= 4 / 712

= 4

Step3:

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

= 4 / 689

= 4

So, Greatest Common Divisor of 280, 468, 712, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 454, 759, 197
• GCD of 247, 402, 176, 927
• GCD of 358, 545, 132, 609
• GCD of 897, 240, 299, 946
• GCD of 199, 860, 793, 851

Given numbers are 280, 468, 712, 689
The greatest common divisor of numbers 280, 468, 712, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 468, 712, 689 is 1.

1. What is the GCD of 280, 468, 712, 689?

GCD of given numbers 280, 468, 712, 689 is 1

2. How to calculate the greatest common divisor of 280, 468, 712, 689?

We can find the highest common divisor of 280, 468, 712, 689 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 280, 468, 712, 689 i.e 1.

3. How can I use the GCD of 280, 468, 712, 689Calculator?

Out the numbers 280, 468, 712, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.