GCD of 920, 768, 792, 734 Calculator

Given Input numbers are 920, 768, 792, 734

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 734 :

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

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (920, 768, 792, 734) = 2.

Given numbers are 920, 768, 792, 734

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 920, 768, 792, 734 is 2.

Given numbers are 920, 768, 792, 734

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

Apply this formula for all numbers.

Step1:

LCM(920, 768) = 88320

GCD(920, 768) = ( 920 x 768 ) / 88320

= 920 / 768

= 920

Step2:

LCM(8, 792) = 792

GCD(8, 792) = ( 8 x 792 ) / 792

= 8 / 792

= 8

Step3:

LCM(8, 734) = 2936

GCD(8, 734) = ( 8 x 734 ) / 2936

= 8 / 734

= 8

So, Greatest Common Divisor of 920, 768, 792, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 492, 368, 710
• GCD of 471, 389, 910, 478
• GCD of 110, 763, 613, 113
• GCD of 172, 341, 233, 815
• GCD of 947, 644, 959, 191

Given numbers are 920, 768, 792, 734
The greatest common divisor of numbers 920, 768, 792, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 768, 792, 734 is 2.

1. What is the GCD of 920, 768, 792, 734?

GCD of given numbers 920, 768, 792, 734 is 2

2. How to calculate the greatest common divisor of 920, 768, 792, 734?

We can find the highest common divisor of 920, 768, 792, 734 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 920, 768, 792, 734 i.e 2.

3. How can I use the GCD of 920, 768, 792, 734Calculator?

Out the numbers 920, 768, 792, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.