GCD of 587, 680, 109, 400 Calculator

Given Input numbers are 587, 680, 109, 400

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

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (587, 680, 109, 400) = 1.

Given numbers are 587, 680, 109, 400

The list of prime factors of all numbers are

Prime factors of 587 are 587

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 109 are 109

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 587, 680, 109, 400

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

Apply this formula for all numbers.

Step1:

LCM(587, 680) = 399160

GCD(587, 680) = ( 587 x 680 ) / 399160

= 587 / 680

= 587

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 587, 680, 109, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 180, 556, 835
• GCD of 736, 294, 173, 134
• GCD of 311, 608, 809, 134
• GCD of 357, 415, 907, 484
• GCD of 373, 646, 892, 358

Given numbers are 587, 680, 109, 400
The greatest common divisor of numbers 587, 680, 109, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 587, 680, 109, 400 is 1.

1. What is the GCD of 587, 680, 109, 400?

GCD of given numbers 587, 680, 109, 400 is 1

2. How to calculate the greatest common divisor of 587, 680, 109, 400?

We can find the highest common divisor of 587, 680, 109, 400 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 587, 680, 109, 400 i.e 1.

3. How can I use the GCD of 587, 680, 109, 400Calculator?

Out the numbers 587, 680, 109, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.