GCD of 768, 147, 748, 382 Calculator

Given Input numbers are 768, 147, 748, 382

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (768, 147, 748, 382) = 1.

Given numbers are 768, 147, 748, 382

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 147 are 3 x 7 x 7

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 382 are 2 x 191

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

Given numbers are 768, 147, 748, 382

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

Apply this formula for all numbers.

Step1:

LCM(768, 147) = 37632

GCD(768, 147) = ( 768 x 147 ) / 37632

= 768 / 147

= 768

Step2:

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

= 3 / 748

= 3

Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1

So, Greatest Common Divisor of 768, 147, 748, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 706, 132, 308
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• GCD of 683, 228, 520, 555

Given numbers are 768, 147, 748, 382
The greatest common divisor of numbers 768, 147, 748, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 147, 748, 382 is 1.

1. What is the GCD of 768, 147, 748, 382?

GCD of given numbers 768, 147, 748, 382 is 1

2. How to calculate the greatest common divisor of 768, 147, 748, 382?

We can find the highest common divisor of 768, 147, 748, 382 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, 147, 748, 382 i.e 1.

3. How can I use the GCD of 768, 147, 748, 382Calculator?

Out the numbers 768, 147, 748, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.