GCD of 362, 322, 476, 705 Calculator

Given Input numbers are 362, 322, 476, 705

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 705 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (362, 322, 476, 705) = 1.

Given numbers are 362, 322, 476, 705

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 322 are 2 x 7 x 23

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 362, 322, 476, 705

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

Apply this formula for all numbers.

Step1:

LCM(362, 322) = 58282

GCD(362, 322) = ( 362 x 322 ) / 58282

= 362 / 322

= 362

Step2:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

Step3:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

So, Greatest Common Divisor of 362, 322, 476, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 598, 340, 626
• GCD of 730, 446, 890, 124
• GCD of 948, 421, 453, 821
• GCD of 809, 153, 361, 901
• GCD of 686, 109, 202, 704

Given numbers are 362, 322, 476, 705
The greatest common divisor of numbers 362, 322, 476, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 322, 476, 705 is 1.

1. What is the GCD of 362, 322, 476, 705?

GCD of given numbers 362, 322, 476, 705 is 1

2. How to calculate the greatest common divisor of 362, 322, 476, 705?

We can find the highest common divisor of 362, 322, 476, 705 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 362, 322, 476, 705 i.e 1.

3. How can I use the GCD of 362, 322, 476, 705Calculator?

Out the numbers 362, 322, 476, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.