GCD of 362, 874, 294, 189 Calculator

Given Input numbers are 362, 874, 294, 189

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 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (362, 874, 294, 189) = 1.

Given numbers are 362, 874, 294, 189

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 874 are 2 x 19 x 23

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 362, 874, 294, 189

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

Apply this formula for all numbers.

Step1:

LCM(362, 874) = 158194

GCD(362, 874) = ( 362 x 874 ) / 158194

= 362 / 874

= 362

Step2:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

So, Greatest Common Divisor of 362, 874, 294, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 497, 606, 617
• GCD of 160, 704, 655, 176
• GCD of 571, 815, 500, 514
• GCD of 494, 624, 402, 725
• GCD of 257, 126, 273, 606

Given numbers are 362, 874, 294, 189
The greatest common divisor of numbers 362, 874, 294, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 874, 294, 189 is 1.

1. What is the GCD of 362, 874, 294, 189?

GCD of given numbers 362, 874, 294, 189 is 1

2. How to calculate the greatest common divisor of 362, 874, 294, 189?

We can find the highest common divisor of 362, 874, 294, 189 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, 874, 294, 189 i.e 1.

3. How can I use the GCD of 362, 874, 294, 189Calculator?

Out the numbers 362, 874, 294, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.