GCD of 354, 392, 574, 427 Calculator

Given Input numbers are 354, 392, 574, 427

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (354, 392, 574, 427) = 1.

Given numbers are 354, 392, 574, 427

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 574 are 2 x 7 x 41

Prime factors of 427 are 7 x 61

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

Given numbers are 354, 392, 574, 427

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

Apply this formula for all numbers.

Step1:

LCM(354, 392) = 69384

GCD(354, 392) = ( 354 x 392 ) / 69384

= 354 / 392

= 354

Step2:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

Step3:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2

So, Greatest Common Divisor of 354, 392, 574, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 146, 424, 141
• GCD of 725, 617, 781, 715
• GCD of 487, 458, 625, 802
• GCD of 267, 441, 801, 224
• GCD of 227, 518, 413, 302

Given numbers are 354, 392, 574, 427
The greatest common divisor of numbers 354, 392, 574, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 392, 574, 427 is 1.

1. What is the GCD of 354, 392, 574, 427?

GCD of given numbers 354, 392, 574, 427 is 1

2. How to calculate the greatest common divisor of 354, 392, 574, 427?

We can find the highest common divisor of 354, 392, 574, 427 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 354, 392, 574, 427 i.e 1.

3. How can I use the GCD of 354, 392, 574, 427Calculator?

Out the numbers 354, 392, 574, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.