GCD of 746, 996, 306, 302 Calculator

Given Input numbers are 746, 996, 306, 302

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (746, 996, 306, 302) = 2.

Given numbers are 746, 996, 306, 302

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

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

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 746, 996, 306, 302 is 2.

Given numbers are 746, 996, 306, 302

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

Apply this formula for all numbers.

Step1:

LCM(746, 996) = 371508

GCD(746, 996) = ( 746 x 996 ) / 371508

= 746 / 996

= 746

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 746, 996, 306, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 683, 791, 945
• GCD of 108, 613, 307, 952
• GCD of 716, 495, 920, 322
• GCD of 461, 435, 841, 278
• GCD of 912, 181, 886, 221

Given numbers are 746, 996, 306, 302
The greatest common divisor of numbers 746, 996, 306, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 996, 306, 302 is 2.

1. What is the GCD of 746, 996, 306, 302?

GCD of given numbers 746, 996, 306, 302 is 2

2. How to calculate the greatest common divisor of 746, 996, 306, 302?

We can find the highest common divisor of 746, 996, 306, 302 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 746, 996, 306, 302 i.e 2.

3. How can I use the GCD of 746, 996, 306, 302Calculator?

Out the numbers 746, 996, 306, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.