GCD of 518, 526, 144, 162 Calculator

Given Input numbers are 518, 526, 144, 162

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

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 (518, 526, 144, 162) = 2.

Given numbers are 518, 526, 144, 162

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 526 are 2 x 263

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 518, 526, 144, 162 is 2.

Given numbers are 518, 526, 144, 162

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

Apply this formula for all numbers.

Step1:

LCM(518, 526) = 136234

GCD(518, 526) = ( 518 x 526 ) / 136234

= 518 / 526

= 518

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 162) = 162

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

= 2 / 162

= 2

So, Greatest Common Divisor of 518, 526, 144, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 856, 942, 645
• GCD of 619, 754, 133, 488
• GCD of 972, 939, 856, 600
• GCD of 330, 288, 996, 128
• GCD of 460, 486, 609, 758

Given numbers are 518, 526, 144, 162
The greatest common divisor of numbers 518, 526, 144, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 526, 144, 162 is 2.

1. What is the GCD of 518, 526, 144, 162?

GCD of given numbers 518, 526, 144, 162 is 2

2. How to calculate the greatest common divisor of 518, 526, 144, 162?

We can find the highest common divisor of 518, 526, 144, 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 518, 526, 144, 162 i.e 2.

3. How can I use the GCD of 518, 526, 144, 162Calculator?

Out the numbers 518, 526, 144, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.