GCD of 905, 725, 728, 676 Calculator

Given Input numbers are 905, 725, 728, 676

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

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (905, 725, 728, 676) = 1.

Given numbers are 905, 725, 728, 676

The list of prime factors of all numbers are

Prime factors of 905 are 5 x 181

Prime factors of 725 are 5 x 5 x 29

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

Prime factors of 676 are 2 x 2 x 13 x 13

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

Given numbers are 905, 725, 728, 676

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

Apply this formula for all numbers.

Step1:

LCM(905, 725) = 131225

GCD(905, 725) = ( 905 x 725 ) / 131225

= 905 / 725

= 905

Step2:

LCM(5, 728) = 3640

GCD(5, 728) = ( 5 x 728 ) / 3640

= 5 / 728

= 5

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 905, 725, 728, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 102, 672, 211
• GCD of 824, 659, 208, 105
• GCD of 291, 263, 662, 477
• GCD of 140, 308, 182, 177
• GCD of 918, 344, 849, 209

Given numbers are 905, 725, 728, 676
The greatest common divisor of numbers 905, 725, 728, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 905, 725, 728, 676 is 1.

1. What is the GCD of 905, 725, 728, 676?

GCD of given numbers 905, 725, 728, 676 is 1

2. How to calculate the greatest common divisor of 905, 725, 728, 676?

We can find the highest common divisor of 905, 725, 728, 676 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 905, 725, 728, 676 i.e 1.

3. How can I use the GCD of 905, 725, 728, 676Calculator?

Out the numbers 905, 725, 728, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.