GCD of 144, 722, 681, 960 Calculator

Given Input numbers are 144, 722, 681, 960

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (144, 722, 681, 960) = 1.

Given numbers are 144, 722, 681, 960

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 722 are 2 x 19 x 19

Prime factors of 681 are 3 x 227

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 144, 722, 681, 960

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

Apply this formula for all numbers.

Step1:

LCM(144, 722) = 51984

GCD(144, 722) = ( 144 x 722 ) / 51984

= 144 / 722

= 144

Step2:

LCM(2, 681) = 1362

GCD(2, 681) = ( 2 x 681 ) / 1362

= 2 / 681

= 2

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 144, 722, 681, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 760, 770, 243
• GCD of 931, 954, 972, 767
• GCD of 512, 440, 719, 304
• GCD of 698, 276, 801, 375
• GCD of 438, 888, 290, 818

Given numbers are 144, 722, 681, 960
The greatest common divisor of numbers 144, 722, 681, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 722, 681, 960 is 1.

1. What is the GCD of 144, 722, 681, 960?

GCD of given numbers 144, 722, 681, 960 is 1

2. How to calculate the greatest common divisor of 144, 722, 681, 960?

We can find the highest common divisor of 144, 722, 681, 960 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, 722, 681, 960 i.e 1.

3. How can I use the GCD of 144, 722, 681, 960Calculator?

Out the numbers 144, 722, 681, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.