GCD of 768, 141, 42, 824 Calculator

Given Input numbers are 768, 141, 42, 824

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 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 824 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (768, 141, 42, 824) = 1.

Given numbers are 768, 141, 42, 824

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 141 are 3 x 47

Prime factors of 42 are 2 x 3 x 7

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

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

Given numbers are 768, 141, 42, 824

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

Apply this formula for all numbers.

Step1:

LCM(768, 141) = 36096

GCD(768, 141) = ( 768 x 141 ) / 36096

= 768 / 141

= 768

Step2:

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

= 3 / 42

= 3

Step3:

LCM(3, 824) = 2472

GCD(3, 824) = ( 3 x 824 ) / 2472

= 3 / 824

= 3

So, Greatest Common Divisor of 768, 141, 42, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 948, 81, 744
• GCD of 368, 516, 13, 689
• GCD of 255, 364, 68, 581
• GCD of 329, 512, 54, 615
• GCD of 161, 780, 90, 171

Given numbers are 768, 141, 42, 824
The greatest common divisor of numbers 768, 141, 42, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 141, 42, 824 is 1.

1. What is the GCD of 768, 141, 42, 824?

GCD of given numbers 768, 141, 42, 824 is 1

2. How to calculate the greatest common divisor of 768, 141, 42, 824?

We can find the highest common divisor of 768, 141, 42, 824 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, 141, 42, 824 i.e 1.

3. How can I use the GCD of 768, 141, 42, 824Calculator?

Out the numbers 768, 141, 42, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.