GCD of 670, 375, 825, 585 Calculator

Given Input numbers are 670, 375, 825, 585

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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 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 (670, 375, 825, 585) = 5.

Given numbers are 670, 375, 825, 585

The list of prime factors of all numbers are

Prime factors of 670 are 2 x 5 x 67

Prime factors of 375 are 3 x 5 x 5 x 5

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

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

The highest common occurrence is 5¹

Therefore, GCD of 670, 375, 825, 585 is 5.

Given numbers are 670, 375, 825, 585

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

Apply this formula for all numbers.

Step1:

LCM(670, 375) = 50250

GCD(670, 375) = ( 670 x 375 ) / 50250

= 670 / 375

= 670

Step2:

LCM(5, 825) = 825

GCD(5, 825) = ( 5 x 825 ) / 825

= 5 / 825

= 5

Step3:

LCM(5, 585) = 585

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

= 5 / 585

= 5

So, Greatest Common Divisor of 670, 375, 825, 585 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 331, 816, 249
• GCD of 246, 454, 753, 123
• GCD of 903, 687, 428, 944
• GCD of 186, 879, 692, 917
• GCD of 782, 646, 128, 241

Given numbers are 670, 375, 825, 585
The greatest common divisor of numbers 670, 375, 825, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 375, 825, 585 is 5.

1. What is the GCD of 670, 375, 825, 585?

GCD of given numbers 670, 375, 825, 585 is 5

2. How to calculate the greatest common divisor of 670, 375, 825, 585?

We can find the highest common divisor of 670, 375, 825, 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 670, 375, 825, 585 i.e 5.

3. How can I use the GCD of 670, 375, 825, 585Calculator?

Out the numbers 670, 375, 825, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.