GCD of 658, 944, 470, 996 Calculator

Given Input numbers are 658, 944, 470, 996

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (658, 944, 470, 996) = 2.

Given numbers are 658, 944, 470, 996

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 658, 944, 470, 996 is 2.

Given numbers are 658, 944, 470, 996

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

Apply this formula for all numbers.

Step1:

LCM(658, 944) = 310576

GCD(658, 944) = ( 658 x 944 ) / 310576

= 658 / 944

= 658

Step2:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 658, 944, 470, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 556, 266, 920
• GCD of 887, 568, 133, 377
• GCD of 249, 429, 779, 638
• GCD of 652, 429, 114, 806
• GCD of 274, 961, 131, 196

Given numbers are 658, 944, 470, 996
The greatest common divisor of numbers 658, 944, 470, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 944, 470, 996 is 2.

1. What is the GCD of 658, 944, 470, 996?

GCD of given numbers 658, 944, 470, 996 is 2

2. How to calculate the greatest common divisor of 658, 944, 470, 996?

We can find the highest common divisor of 658, 944, 470, 996 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 658, 944, 470, 996 i.e 2.

3. How can I use the GCD of 658, 944, 470, 996Calculator?

Out the numbers 658, 944, 470, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.