GCD of 485, 540, 724, 820 Calculator

Given Input numbers are 485, 540, 724, 820

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

Divisors of 485 :

The positive integer divisors of 485 that completely divides 485 are.

1, 5, 97, 485

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (485, 540, 724, 820) = 1.

Given numbers are 485, 540, 724, 820

The list of prime factors of all numbers are

Prime factors of 485 are 5 x 97

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 724 are 2 x 2 x 181

Prime factors of 820 are 2 x 2 x 5 x 41

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

Given numbers are 485, 540, 724, 820

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

Apply this formula for all numbers.

Step1:

LCM(485, 540) = 52380

GCD(485, 540) = ( 485 x 540 ) / 52380

= 485 / 540

= 485

Step2:

LCM(5, 724) = 3620

GCD(5, 724) = ( 5 x 724 ) / 3620

= 5 / 724

= 5

Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

So, Greatest Common Divisor of 485, 540, 724, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 680, 376, 563
• GCD of 900, 468, 367, 762
• GCD of 484, 564, 905, 606
• GCD of 296, 373, 703, 871
• GCD of 698, 656, 257, 972

Given numbers are 485, 540, 724, 820
The greatest common divisor of numbers 485, 540, 724, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 485, 540, 724, 820 is 1.

1. What is the GCD of 485, 540, 724, 820?

GCD of given numbers 485, 540, 724, 820 is 1

2. How to calculate the greatest common divisor of 485, 540, 724, 820?

We can find the highest common divisor of 485, 540, 724, 820 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 485, 540, 724, 820 i.e 1.

3. How can I use the GCD of 485, 540, 724, 820Calculator?

Out the numbers 485, 540, 724, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.