GCD of 357, 768, 53, 432 Calculator

Given Input numbers are 357, 768, 53, 432

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 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 53 :

The positive integer divisors of 53 that completely divides 53 are.

1, 53

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (357, 768, 53, 432) = 1.

Given numbers are 357, 768, 53, 432

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

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 53 are 53

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 357, 768, 53, 432

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

Apply this formula for all numbers.

Step1:

LCM(357, 768) = 91392

GCD(357, 768) = ( 357 x 768 ) / 91392

= 357 / 768

= 357

Step2:

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

= 3 / 53

= 3

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 357, 768, 53, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 121, 99, 747
• GCD of 422, 813, 39, 776
• GCD of 937, 267, 19, 591
• GCD of 597, 748, 40, 447
• GCD of 443, 950, 18, 176

Given numbers are 357, 768, 53, 432
The greatest common divisor of numbers 357, 768, 53, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 768, 53, 432 is 1.

1. What is the GCD of 357, 768, 53, 432?

GCD of given numbers 357, 768, 53, 432 is 1

2. How to calculate the greatest common divisor of 357, 768, 53, 432?

We can find the highest common divisor of 357, 768, 53, 432 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, 768, 53, 432 i.e 1.

3. How can I use the GCD of 357, 768, 53, 432Calculator?

Out the numbers 357, 768, 53, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.