GCD of 354, 822, 289, 178 Calculator

Given Input numbers are 354, 822, 289, 178

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (354, 822, 289, 178) = 1.

Given numbers are 354, 822, 289, 178

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 822 are 2 x 3 x 137

Prime factors of 289 are 17 x 17

Prime factors of 178 are 2 x 89

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

Given numbers are 354, 822, 289, 178

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

Apply this formula for all numbers.

Step1:

LCM(354, 822) = 48498

GCD(354, 822) = ( 354 x 822 ) / 48498

= 354 / 822

= 354

Step2:

LCM(6, 289) = 1734

GCD(6, 289) = ( 6 x 289 ) / 1734

= 6 / 289

= 6

Step3:

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

= 1 / 178

= 1

So, Greatest Common Divisor of 354, 822, 289, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 768, 630, 928
• GCD of 516, 675, 514, 270
• GCD of 531, 616, 784, 800
• GCD of 318, 118, 945, 275
• GCD of 311, 343, 659, 871

Given numbers are 354, 822, 289, 178
The greatest common divisor of numbers 354, 822, 289, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 822, 289, 178 is 1.

1. What is the GCD of 354, 822, 289, 178?

GCD of given numbers 354, 822, 289, 178 is 1

2. How to calculate the greatest common divisor of 354, 822, 289, 178?

We can find the highest common divisor of 354, 822, 289, 178 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, 822, 289, 178 i.e 1.

3. How can I use the GCD of 354, 822, 289, 178Calculator?

Out the numbers 354, 822, 289, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.