GCD of 113, 728, 580, 705 Calculator

Given Input numbers are 113, 728, 580, 705

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

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (113, 728, 580, 705) = 1.

Given numbers are 113, 728, 580, 705

The list of prime factors of all numbers are

Prime factors of 113 are 113

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 113, 728, 580, 705

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

Apply this formula for all numbers.

Step1:

LCM(113, 728) = 82264

GCD(113, 728) = ( 113 x 728 ) / 82264

= 113 / 728

= 113

Step2:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 113, 728, 580, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 413, 148, 542
• GCD of 666, 503, 892, 634
• GCD of 184, 931, 916, 721
• GCD of 946, 190, 206, 957
• GCD of 561, 522, 543, 619

Given numbers are 113, 728, 580, 705
The greatest common divisor of numbers 113, 728, 580, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 113, 728, 580, 705 is 1.

1. What is the GCD of 113, 728, 580, 705?

GCD of given numbers 113, 728, 580, 705 is 1

2. How to calculate the greatest common divisor of 113, 728, 580, 705?

We can find the highest common divisor of 113, 728, 580, 705 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 113, 728, 580, 705 i.e 1.

3. How can I use the GCD of 113, 728, 580, 705Calculator?

Out the numbers 113, 728, 580, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.