GCD of 363, 734, 755, 742 Calculator

Given Input numbers are 363, 734, 755, 742

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 755 :

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

1, 5, 151, 755

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (363, 734, 755, 742) = 1.

Given numbers are 363, 734, 755, 742

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 734 are 2 x 367

Prime factors of 755 are 5 x 151

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 363, 734, 755, 742

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

Apply this formula for all numbers.

Step1:

LCM(363, 734) = 266442

GCD(363, 734) = ( 363 x 734 ) / 266442

= 363 / 734

= 363

Step2:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 363, 734, 755, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 636, 659, 905
• GCD of 795, 447, 803, 491
• GCD of 976, 941, 775, 363
• GCD of 290, 479, 305, 541
• GCD of 493, 943, 376, 723

Given numbers are 363, 734, 755, 742
The greatest common divisor of numbers 363, 734, 755, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 734, 755, 742 is 1.

1. What is the GCD of 363, 734, 755, 742?

GCD of given numbers 363, 734, 755, 742 is 1

2. How to calculate the greatest common divisor of 363, 734, 755, 742?

We can find the highest common divisor of 363, 734, 755, 742 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 363, 734, 755, 742 i.e 1.

3. How can I use the GCD of 363, 734, 755, 742Calculator?

Out the numbers 363, 734, 755, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.