GCD of 792, 716, 460, 654 Calculator

Given Input numbers are 792, 716, 460, 654

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (792, 716, 460, 654) = 2.

Given numbers are 792, 716, 460, 654

The list of prime factors of all numbers are

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 716 are 2 x 2 x 179

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 792, 716, 460, 654 is 2.

Given numbers are 792, 716, 460, 654

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

Apply this formula for all numbers.

Step1:

LCM(792, 716) = 141768

GCD(792, 716) = ( 792 x 716 ) / 141768

= 792 / 716

= 792

Step2:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

Step3:

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

= 4 / 654

= 4

So, Greatest Common Divisor of 792, 716, 460, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 806, 543, 796
• GCD of 371, 767, 545, 635
• GCD of 216, 217, 857, 179
• GCD of 340, 768, 307, 796
• GCD of 887, 545, 801, 246

Given numbers are 792, 716, 460, 654
The greatest common divisor of numbers 792, 716, 460, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 716, 460, 654 is 2.

1. What is the GCD of 792, 716, 460, 654?

GCD of given numbers 792, 716, 460, 654 is 2

2. How to calculate the greatest common divisor of 792, 716, 460, 654?

We can find the highest common divisor of 792, 716, 460, 654 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 792, 716, 460, 654 i.e 2.

3. How can I use the GCD of 792, 716, 460, 654Calculator?

Out the numbers 792, 716, 460, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.