GCD of 824, 638, 53, 431 Calculator

Given Input numbers are 824, 638, 53, 431

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 53 :

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

1, 53

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (824, 638, 53, 431) = 1.

Given numbers are 824, 638, 53, 431

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 638 are 2 x 11 x 29

Prime factors of 53 are 53

Prime factors of 431 are 431

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

Given numbers are 824, 638, 53, 431

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

Apply this formula for all numbers.

Step1:

LCM(824, 638) = 262856

GCD(824, 638) = ( 824 x 638 ) / 262856

= 824 / 638

= 824

Step2:

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

= 2 / 53

= 2

Step3:

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

= 1 / 431

= 1

So, Greatest Common Divisor of 824, 638, 53, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 976, 68, 244
• GCD of 963, 332, 32, 846
• GCD of 712, 633, 90, 141
• GCD of 147, 364, 21, 553
• GCD of 128, 419, 41, 941

Given numbers are 824, 638, 53, 431
The greatest common divisor of numbers 824, 638, 53, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 638, 53, 431 is 1.

1. What is the GCD of 824, 638, 53, 431?

GCD of given numbers 824, 638, 53, 431 is 1

2. How to calculate the greatest common divisor of 824, 638, 53, 431?

We can find the highest common divisor of 824, 638, 53, 431 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 824, 638, 53, 431 i.e 1.

3. How can I use the GCD of 824, 638, 53, 431Calculator?

Out the numbers 824, 638, 53, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.