GCD of 144, 544, 764, 896 Calculator

Given Input numbers are 144, 544, 764, 896

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 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (144, 544, 764, 896) = 4.

Given numbers are 144, 544, 764, 896

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 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 764 are 2 x 2 x 191

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2²

Therefore, GCD of 144, 544, 764, 896 is 4.

Given numbers are 144, 544, 764, 896

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

Apply this formula for all numbers.

Step1:

LCM(144, 544) = 4896

GCD(144, 544) = ( 144 x 544 ) / 4896

= 144 / 544

= 144

Step2:

LCM(16, 764) = 3056

GCD(16, 764) = ( 16 x 764 ) / 3056

= 16 / 764

= 16

Step3:

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

= 4 / 896

= 4

So, Greatest Common Divisor of 144, 544, 764, 896 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 822, 620, 844
• GCD of 524, 565, 683, 196
• GCD of 110, 906, 393, 798
• GCD of 926, 697, 402, 342
• GCD of 988, 221, 103, 617

Given numbers are 144, 544, 764, 896
The greatest common divisor of numbers 144, 544, 764, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 544, 764, 896 is 4.

1. What is the GCD of 144, 544, 764, 896?

GCD of given numbers 144, 544, 764, 896 is 4

2. How to calculate the greatest common divisor of 144, 544, 764, 896?

We can find the highest common divisor of 144, 544, 764, 896 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, 544, 764, 896 i.e 4.

3. How can I use the GCD of 144, 544, 764, 896Calculator?

Out the numbers 144, 544, 764, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.