GCD of 742, 764, 396, 735 Calculator

Given Input numbers are 742, 764, 396, 735

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

Divisors of 742 :

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

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

Divisors of 764 :

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

1, 2, 4, 191, 382, 764

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (742, 764, 396, 735) = 1.

Given numbers are 742, 764, 396, 735

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 764 are 2 x 2 x 191

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 735 are 3 x 5 x 7 x 7

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

Given numbers are 742, 764, 396, 735

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

Apply this formula for all numbers.

Step1:

LCM(742, 764) = 283444

GCD(742, 764) = ( 742 x 764 ) / 283444

= 742 / 764

= 742

Step2:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

Step3:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

So, Greatest Common Divisor of 742, 764, 396, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 457, 113, 727
• GCD of 825, 260, 849, 215
• GCD of 792, 820, 209, 454
• GCD of 306, 547, 913, 554
• GCD of 218, 680, 413, 348

Given numbers are 742, 764, 396, 735
The greatest common divisor of numbers 742, 764, 396, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 764, 396, 735 is 1.

1. What is the GCD of 742, 764, 396, 735?

GCD of given numbers 742, 764, 396, 735 is 1

2. How to calculate the greatest common divisor of 742, 764, 396, 735?

We can find the highest common divisor of 742, 764, 396, 735 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 742, 764, 396, 735 i.e 1.

3. How can I use the GCD of 742, 764, 396, 735Calculator?

Out the numbers 742, 764, 396, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.