GCD of 170, 674, 580, 536 Calculator

Given Input numbers are 170, 674, 580, 536

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

GCD of numbers is the greatest common divisor

So, the GCD (170, 674, 580, 536) = 2.

Given numbers are 170, 674, 580, 536

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 674 are 2 x 337

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 536 are 2 x 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 170, 674, 580, 536 is 2.

Given numbers are 170, 674, 580, 536

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

Apply this formula for all numbers.

Step1:

LCM(170, 674) = 57290

GCD(170, 674) = ( 170 x 674 ) / 57290

= 170 / 674

= 170

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

= 2 / 536

= 2

So, Greatest Common Divisor of 170, 674, 580, 536 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 690, 130, 585
• GCD of 456, 905, 567, 482
• GCD of 271, 895, 131, 394
• GCD of 353, 363, 814, 342
• GCD of 355, 816, 981, 692

Given numbers are 170, 674, 580, 536
The greatest common divisor of numbers 170, 674, 580, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 674, 580, 536 is 2.

1. What is the GCD of 170, 674, 580, 536?

GCD of given numbers 170, 674, 580, 536 is 2

2. How to calculate the greatest common divisor of 170, 674, 580, 536?

We can find the highest common divisor of 170, 674, 580, 536 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 170, 674, 580, 536 i.e 2.

3. How can I use the GCD of 170, 674, 580, 536Calculator?

Out the numbers 170, 674, 580, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.