GCD of 996, 408, 146, 718 Calculator

Given Input numbers are 996, 408, 146, 718

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

GCD of numbers is the greatest common divisor

So, the GCD (996, 408, 146, 718) = 2.

Given numbers are 996, 408, 146, 718

The list of prime factors of all numbers are

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 146 are 2 x 73

Prime factors of 718 are 2 x 359

The highest common occurrence is 2¹

Therefore, GCD of 996, 408, 146, 718 is 2.

Given numbers are 996, 408, 146, 718

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

Apply this formula for all numbers.

Step1:

LCM(996, 408) = 33864

GCD(996, 408) = ( 996 x 408 ) / 33864

= 996 / 408

= 996

Step2:

LCM(12, 146) = 876

GCD(12, 146) = ( 12 x 146 ) / 876

= 12 / 146

= 12

Step3:

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

= 2 / 718

= 2

So, Greatest Common Divisor of 996, 408, 146, 718 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 275, 616, 403
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• GCD of 903, 162, 497, 670
• GCD of 795, 234, 353, 429

Given numbers are 996, 408, 146, 718
The greatest common divisor of numbers 996, 408, 146, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 408, 146, 718 is 2.

1. What is the GCD of 996, 408, 146, 718?

GCD of given numbers 996, 408, 146, 718 is 2

2. How to calculate the greatest common divisor of 996, 408, 146, 718?

We can find the highest common divisor of 996, 408, 146, 718 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 996, 408, 146, 718 i.e 2.

3. How can I use the GCD of 996, 408, 146, 718Calculator?

Out the numbers 996, 408, 146, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.