GCD of 356, 674, 944, 204 Calculator

Given Input numbers are 356, 674, 944, 204

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (356, 674, 944, 204) = 2.

Given numbers are 356, 674, 944, 204

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 674 are 2 x 337

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 356, 674, 944, 204 is 2.

Given numbers are 356, 674, 944, 204

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

Apply this formula for all numbers.

Step1:

LCM(356, 674) = 119972

GCD(356, 674) = ( 356 x 674 ) / 119972

= 356 / 674

= 356

Step2:

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

= 2 / 944

= 2

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 356, 674, 944, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 112, 329, 154
• GCD of 253, 551, 203, 599
• GCD of 312, 718, 956, 544
• GCD of 330, 811, 619, 549
• GCD of 614, 788, 897, 604

Given numbers are 356, 674, 944, 204
The greatest common divisor of numbers 356, 674, 944, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 674, 944, 204 is 2.

1. What is the GCD of 356, 674, 944, 204?

GCD of given numbers 356, 674, 944, 204 is 2

2. How to calculate the greatest common divisor of 356, 674, 944, 204?

We can find the highest common divisor of 356, 674, 944, 204 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 356, 674, 944, 204 i.e 2.

3. How can I use the GCD of 356, 674, 944, 204Calculator?

Out the numbers 356, 674, 944, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.