GCD of 170, 122, 752, 300 Calculator

Given Input numbers are 170, 122, 752, 300

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (170, 122, 752, 300) = 2.

Given numbers are 170, 122, 752, 300

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 122 are 2 x 61

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 170, 122, 752, 300 is 2.

Given numbers are 170, 122, 752, 300

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

Apply this formula for all numbers.

Step1:

LCM(170, 122) = 10370

GCD(170, 122) = ( 170 x 122 ) / 10370

= 170 / 122

= 170

Step2:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 170, 122, 752, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 676, 354, 122
• GCD of 109, 933, 972, 672
• GCD of 667, 893, 671, 663
• GCD of 353, 575, 729, 322
• GCD of 428, 655, 244, 544

Given numbers are 170, 122, 752, 300
The greatest common divisor of numbers 170, 122, 752, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 122, 752, 300 is 2.

1. What is the GCD of 170, 122, 752, 300?

GCD of given numbers 170, 122, 752, 300 is 2

2. How to calculate the greatest common divisor of 170, 122, 752, 300?

We can find the highest common divisor of 170, 122, 752, 300 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, 122, 752, 300 i.e 2.

3. How can I use the GCD of 170, 122, 752, 300Calculator?

Out the numbers 170, 122, 752, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.