GCD of 477, 705, 742, 396 Calculator

Given Input numbers are 477, 705, 742, 396

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 742 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (477, 705, 742, 396) = 1.

Given numbers are 477, 705, 742, 396

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 705 are 3 x 5 x 47

Prime factors of 742 are 2 x 7 x 53

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

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

Given numbers are 477, 705, 742, 396

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

Apply this formula for all numbers.

Step1:

LCM(477, 705) = 112095

GCD(477, 705) = ( 477 x 705 ) / 112095

= 477 / 705

= 477

Step2:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 477, 705, 742, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 421, 494, 279
• GCD of 710, 569, 560, 379
• GCD of 659, 255, 766, 244
• GCD of 151, 836, 190, 370
• GCD of 446, 383, 889, 518

Given numbers are 477, 705, 742, 396
The greatest common divisor of numbers 477, 705, 742, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 705, 742, 396 is 1.

1. What is the GCD of 477, 705, 742, 396?

GCD of given numbers 477, 705, 742, 396 is 1

2. How to calculate the greatest common divisor of 477, 705, 742, 396?

We can find the highest common divisor of 477, 705, 742, 396 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 477, 705, 742, 396 i.e 1.

3. How can I use the GCD of 477, 705, 742, 396Calculator?

Out the numbers 477, 705, 742, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.