GCD of 492, 528, 588, 746 Calculator

Given Input numbers are 492, 528, 588, 746

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 (492, 528, 588, 746) = 2.

Given numbers are 492, 528, 588, 746

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 492, 528, 588, 746 is 2.

Given numbers are 492, 528, 588, 746

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

Apply this formula for all numbers.

Step1:

LCM(492, 528) = 21648

GCD(492, 528) = ( 492 x 528 ) / 21648

= 492 / 528

= 492

Step2:

LCM(12, 588) = 588

GCD(12, 588) = ( 12 x 588 ) / 588

= 12 / 588

= 12

Step3:

LCM(12, 746) = 4476

GCD(12, 746) = ( 12 x 746 ) / 4476

= 12 / 746

= 12

So, Greatest Common Divisor of 492, 528, 588, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 745, 607, 973
• GCD of 645, 446, 204, 145
• GCD of 470, 806, 276, 823
• GCD of 579, 100, 535, 696
• GCD of 635, 830, 281, 398

Given numbers are 492, 528, 588, 746
The greatest common divisor of numbers 492, 528, 588, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 528, 588, 746 is 2.

1. What is the GCD of 492, 528, 588, 746?

GCD of given numbers 492, 528, 588, 746 is 2

2. How to calculate the greatest common divisor of 492, 528, 588, 746?

We can find the highest common divisor of 492, 528, 588, 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 492, 528, 588, 746 i.e 2.

3. How can I use the GCD of 492, 528, 588, 746Calculator?

Out the numbers 492, 528, 588, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.