GCD of 357, 783, 480, 728 Calculator

Given Input numbers are 357, 783, 480, 728

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 783 :

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

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

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (357, 783, 480, 728) = 1.

Given numbers are 357, 783, 480, 728

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

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

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

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 357, 783, 480, 728

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

Apply this formula for all numbers.

Step1:

LCM(357, 783) = 93177

GCD(357, 783) = ( 357 x 783 ) / 93177

= 357 / 783

= 357

Step2:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

Step3:

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

= 3 / 728

= 3

So, Greatest Common Divisor of 357, 783, 480, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 422, 383, 271
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• GCD of 617, 629, 633, 159

Given numbers are 357, 783, 480, 728
The greatest common divisor of numbers 357, 783, 480, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 783, 480, 728 is 1.

1. What is the GCD of 357, 783, 480, 728?

GCD of given numbers 357, 783, 480, 728 is 1

2. How to calculate the greatest common divisor of 357, 783, 480, 728?

We can find the highest common divisor of 357, 783, 480, 728 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 357, 783, 480, 728 i.e 1.

3. How can I use the GCD of 357, 783, 480, 728Calculator?

Out the numbers 357, 783, 480, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.