GCD of 144, 172, 992, 153 Calculator

Given Input numbers are 144, 172, 992, 153

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (144, 172, 992, 153) = 1.

Given numbers are 144, 172, 992, 153

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 172 are 2 x 2 x 43

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 153 are 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 172, 992, 153

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

Apply this formula for all numbers.

Step1:

LCM(144, 172) = 6192

GCD(144, 172) = ( 144 x 172 ) / 6192

= 144 / 172

= 144

Step2:

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

= 4 / 992

= 4

Step3:

LCM(4, 153) = 612

GCD(4, 153) = ( 4 x 153 ) / 612

= 4 / 153

= 4

So, Greatest Common Divisor of 144, 172, 992, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 100, 377, 699
• GCD of 470, 918, 296, 869
• GCD of 528, 204, 441, 903
• GCD of 243, 865, 311, 590
• GCD of 204, 830, 144, 931

Given numbers are 144, 172, 992, 153
The greatest common divisor of numbers 144, 172, 992, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 172, 992, 153 is 1.

1. What is the GCD of 144, 172, 992, 153?

GCD of given numbers 144, 172, 992, 153 is 1

2. How to calculate the greatest common divisor of 144, 172, 992, 153?

We can find the highest common divisor of 144, 172, 992, 153 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, 172, 992, 153 i.e 1.

3. How can I use the GCD of 144, 172, 992, 153Calculator?

Out the numbers 144, 172, 992, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.