GCD of 532, 144, 862, 918 Calculator

Given Input numbers are 532, 144, 862, 918

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (532, 144, 862, 918) = 2.

Given numbers are 532, 144, 862, 918

The list of prime factors of all numbers are

Prime factors of 532 are 2 x 2 x 7 x 19

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

Prime factors of 862 are 2 x 431

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 532, 144, 862, 918 is 2.

Given numbers are 532, 144, 862, 918

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

Apply this formula for all numbers.

Step1:

LCM(532, 144) = 19152

GCD(532, 144) = ( 532 x 144 ) / 19152

= 532 / 144

= 532

Step2:

LCM(4, 862) = 1724

GCD(4, 862) = ( 4 x 862 ) / 1724

= 4 / 862

= 4

Step3:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

So, Greatest Common Divisor of 532, 144, 862, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 551, 944, 577
• GCD of 680, 429, 654, 166
• GCD of 744, 632, 635, 987
• GCD of 760, 380, 734, 583
• GCD of 128, 631, 995, 507

Given numbers are 532, 144, 862, 918
The greatest common divisor of numbers 532, 144, 862, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 144, 862, 918 is 2.

1. What is the GCD of 532, 144, 862, 918?

GCD of given numbers 532, 144, 862, 918 is 2

2. How to calculate the greatest common divisor of 532, 144, 862, 918?

We can find the highest common divisor of 532, 144, 862, 918 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 532, 144, 862, 918 i.e 2.

3. How can I use the GCD of 532, 144, 862, 918Calculator?

Out the numbers 532, 144, 862, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.