GCD of 168, 492, 744, 783 Calculator

Given Input numbers are 168, 492, 744, 783

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

GCD of numbers is the greatest common divisor

So, the GCD (168, 492, 744, 783) = 3.

Given numbers are 168, 492, 744, 783

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 783 are 3 x 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 168, 492, 744, 783 is 3.

Given numbers are 168, 492, 744, 783

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

Apply this formula for all numbers.

Step1:

LCM(168, 492) = 6888

GCD(168, 492) = ( 168 x 492 ) / 6888

= 168 / 492

= 168

Step2:

LCM(12, 744) = 744

GCD(12, 744) = ( 12 x 744 ) / 744

= 12 / 744

= 12

Step3:

LCM(12, 783) = 3132

GCD(12, 783) = ( 12 x 783 ) / 3132

= 12 / 783

= 12

So, Greatest Common Divisor of 168, 492, 744, 783 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 182, 490, 212
• GCD of 976, 368, 220, 187
• GCD of 160, 609, 766, 711
• GCD of 387, 774, 351, 731
• GCD of 949, 469, 344, 807

Given numbers are 168, 492, 744, 783
The greatest common divisor of numbers 168, 492, 744, 783 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 492, 744, 783 is 3.

1. What is the GCD of 168, 492, 744, 783?

GCD of given numbers 168, 492, 744, 783 is 3

2. How to calculate the greatest common divisor of 168, 492, 744, 783?

We can find the highest common divisor of 168, 492, 744, 783 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 168, 492, 744, 783 i.e 3.

3. How can I use the GCD of 168, 492, 744, 783Calculator?

Out the numbers 168, 492, 744, 783 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.