GCD of 458, 420, 699, 825 Calculator

Given Input numbers are 458, 420, 699, 825

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

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (458, 420, 699, 825) = 1.

Given numbers are 458, 420, 699, 825

The list of prime factors of all numbers are

Prime factors of 458 are 2 x 229

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 699 are 3 x 233

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 458, 420, 699, 825

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

Apply this formula for all numbers.

Step1:

LCM(458, 420) = 96180

GCD(458, 420) = ( 458 x 420 ) / 96180

= 458 / 420

= 458

Step2:

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

= 2 / 699

= 2

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 458, 420, 699, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 944, 295, 136
• GCD of 824, 947, 860, 465
• GCD of 389, 512, 243, 654
• GCD of 891, 574, 177, 550
• GCD of 758, 855, 412, 390

Given numbers are 458, 420, 699, 825
The greatest common divisor of numbers 458, 420, 699, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 420, 699, 825 is 1.

1. What is the GCD of 458, 420, 699, 825?

GCD of given numbers 458, 420, 699, 825 is 1

2. How to calculate the greatest common divisor of 458, 420, 699, 825?

We can find the highest common divisor of 458, 420, 699, 825 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 458, 420, 699, 825 i.e 1.

3. How can I use the GCD of 458, 420, 699, 825Calculator?

Out the numbers 458, 420, 699, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.