GCD of 768, 736, 828, 772 Calculator

Given Input numbers are 768, 736, 828, 772

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

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (768, 736, 828, 772) = 4.

Given numbers are 768, 736, 828, 772

The list of prime factors of all numbers are

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 736 are 2 x 2 x 2 x 2 x 2 x 23

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

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2²

Therefore, GCD of 768, 736, 828, 772 is 4.

Given numbers are 768, 736, 828, 772

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

Apply this formula for all numbers.

Step1:

LCM(768, 736) = 17664

GCD(768, 736) = ( 768 x 736 ) / 17664

= 768 / 736

= 768

Step2:

LCM(32, 828) = 6624

GCD(32, 828) = ( 32 x 828 ) / 6624

= 32 / 828

= 32

Step3:

LCM(4, 772) = 772

GCD(4, 772) = ( 4 x 772 ) / 772

= 4 / 772

= 4

So, Greatest Common Divisor of 768, 736, 828, 772 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 928, 596, 733
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• GCD of 103, 995, 696, 187
• GCD of 805, 945, 822, 834

Given numbers are 768, 736, 828, 772
The greatest common divisor of numbers 768, 736, 828, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 736, 828, 772 is 4.

1. What is the GCD of 768, 736, 828, 772?

GCD of given numbers 768, 736, 828, 772 is 4

2. How to calculate the greatest common divisor of 768, 736, 828, 772?

We can find the highest common divisor of 768, 736, 828, 772 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 768, 736, 828, 772 i.e 4.

3. How can I use the GCD of 768, 736, 828, 772Calculator?

Out the numbers 768, 736, 828, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.