GCD of 675, 505, 520, 585 Calculator

Given Input numbers are 675, 505, 520, 585

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (675, 505, 520, 585) = 5.

Given numbers are 675, 505, 520, 585

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 505 are 5 x 101

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 585 are 3 x 3 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 675, 505, 520, 585 is 5.

Given numbers are 675, 505, 520, 585

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

Apply this formula for all numbers.

Step1:

LCM(675, 505) = 68175

GCD(675, 505) = ( 675 x 505 ) / 68175

= 675 / 505

= 675

Step2:

LCM(5, 520) = 520

GCD(5, 520) = ( 5 x 520 ) / 520

= 5 / 520

= 5

Step3:

LCM(5, 585) = 585

GCD(5, 585) = ( 5 x 585 ) / 585

= 5 / 585

= 5

So, Greatest Common Divisor of 675, 505, 520, 585 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 338, 492, 225
• GCD of 120, 165, 493, 332
• GCD of 820, 286, 797, 765
• GCD of 158, 359, 481, 141
• GCD of 938, 747, 577, 351

Given numbers are 675, 505, 520, 585
The greatest common divisor of numbers 675, 505, 520, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 505, 520, 585 is 5.

1. What is the GCD of 675, 505, 520, 585?

GCD of given numbers 675, 505, 520, 585 is 5

2. How to calculate the greatest common divisor of 675, 505, 520, 585?

We can find the highest common divisor of 675, 505, 520, 585 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 675, 505, 520, 585 i.e 5.

3. How can I use the GCD of 675, 505, 520, 585Calculator?

Out the numbers 675, 505, 520, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.