GCD of 355, 111, 747, 142 Calculator

Given Input numbers are 355, 111, 747, 142

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

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 (355, 111, 747, 142) = 1.

Given numbers are 355, 111, 747, 142

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 111 are 3 x 37

Prime factors of 747 are 3 x 3 x 83

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 355, 111, 747, 142

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

Apply this formula for all numbers.

Step1:

LCM(355, 111) = 39405

GCD(355, 111) = ( 355 x 111 ) / 39405

= 355 / 111

= 355

Step2:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

Step3:

LCM(1, 142) = 142

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

= 1 / 142

= 1

So, Greatest Common Divisor of 355, 111, 747, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 148, 175, 704
• GCD of 391, 772, 843, 698
• GCD of 172, 386, 285, 710
• GCD of 131, 208, 750, 465
• GCD of 557, 716, 497, 384

Given numbers are 355, 111, 747, 142
The greatest common divisor of numbers 355, 111, 747, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 111, 747, 142 is 1.

1. What is the GCD of 355, 111, 747, 142?

GCD of given numbers 355, 111, 747, 142 is 1

2. How to calculate the greatest common divisor of 355, 111, 747, 142?

We can find the highest common divisor of 355, 111, 747, 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 355, 111, 747, 142 i.e 1.

3. How can I use the GCD of 355, 111, 747, 142Calculator?

Out the numbers 355, 111, 747, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.