GCD of 944, 356, 584, 706 Calculator

Given Input numbers are 944, 356, 584, 706

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

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 356 :

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

1, 2, 4, 89, 178, 356

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (944, 356, 584, 706) = 2.

Given numbers are 944, 356, 584, 706

The list of prime factors of all numbers are

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

Prime factors of 356 are 2 x 2 x 89

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 706 are 2 x 353

The highest common occurrence is 2¹

Therefore, GCD of 944, 356, 584, 706 is 2.

Given numbers are 944, 356, 584, 706

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

Apply this formula for all numbers.

Step1:

LCM(944, 356) = 84016

GCD(944, 356) = ( 944 x 356 ) / 84016

= 944 / 356

= 944

Step2:

LCM(4, 584) = 584

GCD(4, 584) = ( 4 x 584 ) / 584

= 4 / 584

= 4

Step3:

LCM(4, 706) = 1412

GCD(4, 706) = ( 4 x 706 ) / 1412

= 4 / 706

= 4

So, Greatest Common Divisor of 944, 356, 584, 706 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 609, 930, 941
• GCD of 997, 952, 782, 108
• GCD of 222, 783, 247, 744
• GCD of 134, 835, 403, 197
• GCD of 384, 361, 227, 152

Given numbers are 944, 356, 584, 706
The greatest common divisor of numbers 944, 356, 584, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 944, 356, 584, 706 is 2.

1. What is the GCD of 944, 356, 584, 706?

GCD of given numbers 944, 356, 584, 706 is 2

2. How to calculate the greatest common divisor of 944, 356, 584, 706?

We can find the highest common divisor of 944, 356, 584, 706 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 944, 356, 584, 706 i.e 2.

3. How can I use the GCD of 944, 356, 584, 706Calculator?

Out the numbers 944, 356, 584, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.