GCD of 936, 146, 828, 746 Calculator

Given Input numbers are 936, 146, 828, 746

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 146 :

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

1, 2, 73, 146

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 (936, 146, 828, 746) = 2.

Given numbers are 936, 146, 828, 746

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 146 are 2 x 73

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 936, 146, 828, 746 is 2.

Given numbers are 936, 146, 828, 746

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

Apply this formula for all numbers.

Step1:

LCM(936, 146) = 68328

GCD(936, 146) = ( 936 x 146 ) / 68328

= 936 / 146

= 936

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 746) = 746

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

= 2 / 746

= 2

So, Greatest Common Divisor of 936, 146, 828, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 529, 402, 934
• GCD of 265, 598, 723, 682
• GCD of 392, 147, 729, 983
• GCD of 936, 563, 837, 647
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Given numbers are 936, 146, 828, 746
The greatest common divisor of numbers 936, 146, 828, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 146, 828, 746 is 2.

1. What is the GCD of 936, 146, 828, 746?

GCD of given numbers 936, 146, 828, 746 is 2

2. How to calculate the greatest common divisor of 936, 146, 828, 746?

We can find the highest common divisor of 936, 146, 828, 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 936, 146, 828, 746 i.e 2.

3. How can I use the GCD of 936, 146, 828, 746Calculator?

Out the numbers 936, 146, 828, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.