GCD of 144, 262, 500, 526 Calculator

Given Input numbers are 144, 262, 500, 526

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

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 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 526 :

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

1, 2, 263, 526

GCD of numbers is the greatest common divisor

So, the GCD (144, 262, 500, 526) = 2.

Given numbers are 144, 262, 500, 526

The list of prime factors of all numbers are

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

Prime factors of 262 are 2 x 131

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 526 are 2 x 263

The highest common occurrence is 2¹

Therefore, GCD of 144, 262, 500, 526 is 2.

Given numbers are 144, 262, 500, 526

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

Apply this formula for all numbers.

Step1:

LCM(144, 262) = 18864

GCD(144, 262) = ( 144 x 262 ) / 18864

= 144 / 262

= 144

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

Step3:

LCM(2, 526) = 526

GCD(2, 526) = ( 2 x 526 ) / 526

= 2 / 526

= 2

So, Greatest Common Divisor of 144, 262, 500, 526 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 184, 191, 692
• GCD of 918, 761, 626, 505
• GCD of 105, 321, 817, 991
• GCD of 179, 719, 763, 985
• GCD of 962, 864, 768, 927

Given numbers are 144, 262, 500, 526
The greatest common divisor of numbers 144, 262, 500, 526 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 262, 500, 526 is 2.

1. What is the GCD of 144, 262, 500, 526?

GCD of given numbers 144, 262, 500, 526 is 2

2. How to calculate the greatest common divisor of 144, 262, 500, 526?

We can find the highest common divisor of 144, 262, 500, 526 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 144, 262, 500, 526 i.e 2.

3. How can I use the GCD of 144, 262, 500, 526Calculator?

Out the numbers 144, 262, 500, 526 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.