GCD of 752, 270, 682, 162 Calculator

Given Input numbers are 752, 270, 682, 162

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

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (752, 270, 682, 162) = 2.

Given numbers are 752, 270, 682, 162

The list of prime factors of all numbers are

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 682 are 2 x 11 x 31

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 752, 270, 682, 162 is 2.

Given numbers are 752, 270, 682, 162

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

Apply this formula for all numbers.

Step1:

LCM(752, 270) = 101520

GCD(752, 270) = ( 752 x 270 ) / 101520

= 752 / 270

= 752

Step2:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 752, 270, 682, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 515, 733, 677
• GCD of 481, 833, 916, 712
• GCD of 817, 547, 395, 707
• GCD of 671, 940, 322, 385
• GCD of 451, 909, 569, 864

Given numbers are 752, 270, 682, 162
The greatest common divisor of numbers 752, 270, 682, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 270, 682, 162 is 2.

1. What is the GCD of 752, 270, 682, 162?

GCD of given numbers 752, 270, 682, 162 is 2

2. How to calculate the greatest common divisor of 752, 270, 682, 162?

We can find the highest common divisor of 752, 270, 682, 162 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 752, 270, 682, 162 i.e 2.

3. How can I use the GCD of 752, 270, 682, 162Calculator?

Out the numbers 752, 270, 682, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.