GCD of 768, 308, 142, 351 Calculator

Given Input numbers are 768, 308, 142, 351

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (768, 308, 142, 351) = 1.

Given numbers are 768, 308, 142, 351

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 308 are 2 x 2 x 7 x 11

Prime factors of 142 are 2 x 71

Prime factors of 351 are 3 x 3 x 3 x 13

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

Given numbers are 768, 308, 142, 351

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

Apply this formula for all numbers.

Step1:

LCM(768, 308) = 59136

GCD(768, 308) = ( 768 x 308 ) / 59136

= 768 / 308

= 768

Step2:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

Step3:

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

= 2 / 351

= 2

So, Greatest Common Divisor of 768, 308, 142, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 871, 914, 590
• GCD of 369, 861, 382, 429
• GCD of 704, 464, 787, 283
• GCD of 416, 933, 209, 363
• GCD of 956, 157, 945, 239

Given numbers are 768, 308, 142, 351
The greatest common divisor of numbers 768, 308, 142, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 308, 142, 351 is 1.

1. What is the GCD of 768, 308, 142, 351?

GCD of given numbers 768, 308, 142, 351 is 1

2. How to calculate the greatest common divisor of 768, 308, 142, 351?

We can find the highest common divisor of 768, 308, 142, 351 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, 308, 142, 351 i.e 1.

3. How can I use the GCD of 768, 308, 142, 351Calculator?

Out the numbers 768, 308, 142, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.