GCD of 480, 552, 828, 791 Calculator

Given Input numbers are 480, 552, 828, 791

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

GCD of numbers is the greatest common divisor

So, the GCD (480, 552, 828, 791) = 1.

Given numbers are 480, 552, 828, 791

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

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

Prime factors of 791 are 7 x 113

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 480, 552, 828, 791

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

Apply this formula for all numbers.

Step1:

LCM(480, 552) = 11040

GCD(480, 552) = ( 480 x 552 ) / 11040

= 480 / 552

= 480

Step2:

LCM(24, 828) = 1656

GCD(24, 828) = ( 24 x 828 ) / 1656

= 24 / 828

= 24

Step3:

LCM(12, 791) = 9492

GCD(12, 791) = ( 12 x 791 ) / 9492

= 12 / 791

= 12

So, Greatest Common Divisor of 480, 552, 828, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 984, 193, 860
• GCD of 765, 350, 319, 322
• GCD of 803, 827, 174, 414
• GCD of 171, 940, 743, 327
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Given numbers are 480, 552, 828, 791
The greatest common divisor of numbers 480, 552, 828, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 552, 828, 791 is 1.

1. What is the GCD of 480, 552, 828, 791?

GCD of given numbers 480, 552, 828, 791 is 1

2. How to calculate the greatest common divisor of 480, 552, 828, 791?

We can find the highest common divisor of 480, 552, 828, 791 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 480, 552, 828, 791 i.e 1.

3. How can I use the GCD of 480, 552, 828, 791Calculator?

Out the numbers 480, 552, 828, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.