GCD of 722, 755, 772, 142 Calculator

Given Input numbers are 722, 755, 772, 142

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

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (722, 755, 772, 142) = 1.

Given numbers are 722, 755, 772, 142

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 755 are 5 x 151

Prime factors of 772 are 2 x 2 x 193

Prime factors of 142 are 2 x 71

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

Given numbers are 722, 755, 772, 142

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

Apply this formula for all numbers.

Step1:

LCM(722, 755) = 545110

GCD(722, 755) = ( 722 x 755 ) / 545110

= 722 / 755

= 722

Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 722, 755, 772, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 199, 935, 821
• GCD of 175, 817, 395, 966
• GCD of 689, 800, 236, 513
• GCD of 958, 900, 437, 481
• GCD of 328, 683, 115, 613

Given numbers are 722, 755, 772, 142
The greatest common divisor of numbers 722, 755, 772, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 755, 772, 142 is 1.

1. What is the GCD of 722, 755, 772, 142?

GCD of given numbers 722, 755, 772, 142 is 1

2. How to calculate the greatest common divisor of 722, 755, 772, 142?

We can find the highest common divisor of 722, 755, 772, 142 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 722, 755, 772, 142 i.e 1.

3. How can I use the GCD of 722, 755, 772, 142Calculator?

Out the numbers 722, 755, 772, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.