GCD of 825, 498, 460, 487 Calculator

Given Input numbers are 825, 498, 460, 487

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

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

GCD of numbers is the greatest common divisor

So, the GCD (825, 498, 460, 487) = 1.

Given numbers are 825, 498, 460, 487

The list of prime factors of all numbers are

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

Prime factors of 498 are 2 x 3 x 83

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 487 are 487

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

Given numbers are 825, 498, 460, 487

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

Apply this formula for all numbers.

Step1:

LCM(825, 498) = 136950

GCD(825, 498) = ( 825 x 498 ) / 136950

= 825 / 498

= 825

Step2:

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

= 3 / 460

= 3

Step3:

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

= 1 / 487

= 1

So, Greatest Common Divisor of 825, 498, 460, 487 is 1

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• GCD of 470, 525, 707, 855
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Given numbers are 825, 498, 460, 487
The greatest common divisor of numbers 825, 498, 460, 487 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 498, 460, 487 is 1.

1. What is the GCD of 825, 498, 460, 487?

GCD of given numbers 825, 498, 460, 487 is 1

2. How to calculate the greatest common divisor of 825, 498, 460, 487?

We can find the highest common divisor of 825, 498, 460, 487 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 825, 498, 460, 487 i.e 1.

3. How can I use the GCD of 825, 498, 460, 487Calculator?

Out the numbers 825, 498, 460, 487 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.