GCD of 996, 400, 734, 746 Calculator

Given Input numbers are 996, 400, 734, 746

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 746 :

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

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (996, 400, 734, 746) = 2.

Given numbers are 996, 400, 734, 746

The list of prime factors of all numbers are

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 734 are 2 x 367

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 996, 400, 734, 746 is 2.

Given numbers are 996, 400, 734, 746

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

Apply this formula for all numbers.

Step1:

LCM(996, 400) = 99600

GCD(996, 400) = ( 996 x 400 ) / 99600

= 996 / 400

= 996

Step2:

LCM(4, 734) = 1468

GCD(4, 734) = ( 4 x 734 ) / 1468

= 4 / 734

= 4

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 996, 400, 734, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 468, 799, 239
• GCD of 988, 261, 743, 235
• GCD of 897, 351, 537, 135
• GCD of 365, 986, 290, 638
• GCD of 630, 418, 441, 916

Given numbers are 996, 400, 734, 746
The greatest common divisor of numbers 996, 400, 734, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 400, 734, 746 is 2.

1. What is the GCD of 996, 400, 734, 746?

GCD of given numbers 996, 400, 734, 746 is 2

2. How to calculate the greatest common divisor of 996, 400, 734, 746?

We can find the highest common divisor of 996, 400, 734, 746 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, 400, 734, 746 i.e 2.

3. How can I use the GCD of 996, 400, 734, 746Calculator?

Out the numbers 996, 400, 734, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.