GCD of 598, 270, 102, 144 Calculator

Given Input numbers are 598, 270, 102, 144

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

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

GCD of numbers is the greatest common divisor

So, the GCD (598, 270, 102, 144) = 2.

Given numbers are 598, 270, 102, 144

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

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

Prime factors of 102 are 2 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 598, 270, 102, 144 is 2.

Given numbers are 598, 270, 102, 144

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

Apply this formula for all numbers.

Step1:

LCM(598, 270) = 80730

GCD(598, 270) = ( 598 x 270 ) / 80730

= 598 / 270

= 598

Step2:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

Step3:

LCM(2, 144) = 144

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

= 2 / 144

= 2

So, Greatest Common Divisor of 598, 270, 102, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 565, 879, 589
• GCD of 721, 168, 763, 712
• GCD of 960, 301, 958, 624
• GCD of 313, 780, 501, 583
• GCD of 993, 530, 863, 172

Given numbers are 598, 270, 102, 144
The greatest common divisor of numbers 598, 270, 102, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 270, 102, 144 is 2.

1. What is the GCD of 598, 270, 102, 144?

GCD of given numbers 598, 270, 102, 144 is 2

2. How to calculate the greatest common divisor of 598, 270, 102, 144?

We can find the highest common divisor of 598, 270, 102, 144 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 598, 270, 102, 144 i.e 2.

3. How can I use the GCD of 598, 270, 102, 144Calculator?

Out the numbers 598, 270, 102, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.