GCD of 170, 220, 524, 308 Calculator

Given Input numbers are 170, 220, 524, 308

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (170, 220, 524, 308) = 2.

Given numbers are 170, 220, 524, 308

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 524 are 2 x 2 x 131

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 170, 220, 524, 308 is 2.

Given numbers are 170, 220, 524, 308

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

Apply this formula for all numbers.

Step1:

LCM(170, 220) = 3740

GCD(170, 220) = ( 170 x 220 ) / 3740

= 170 / 220

= 170

Step2:

LCM(10, 524) = 2620

GCD(10, 524) = ( 10 x 524 ) / 2620

= 10 / 524

= 10

Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 170, 220, 524, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 707, 797, 998
• GCD of 385, 272, 777, 190
• GCD of 199, 968, 306, 518
• GCD of 135, 795, 253, 425
• GCD of 213, 178, 307, 803

Given numbers are 170, 220, 524, 308
The greatest common divisor of numbers 170, 220, 524, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 220, 524, 308 is 2.

1. What is the GCD of 170, 220, 524, 308?

GCD of given numbers 170, 220, 524, 308 is 2

2. How to calculate the greatest common divisor of 170, 220, 524, 308?

We can find the highest common divisor of 170, 220, 524, 308 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, 220, 524, 308 i.e 2.

3. How can I use the GCD of 170, 220, 524, 308Calculator?

Out the numbers 170, 220, 524, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.