GCD of 768, 420, 349, 747 Calculator

Given Input numbers are 768, 420, 349, 747

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (768, 420, 349, 747) = 1.

Given numbers are 768, 420, 349, 747

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 349 are 349

Prime factors of 747 are 3 x 3 x 83

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

Given numbers are 768, 420, 349, 747

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

Apply this formula for all numbers.

Step1:

LCM(768, 420) = 26880

GCD(768, 420) = ( 768 x 420 ) / 26880

= 768 / 420

= 768

Step2:

LCM(12, 349) = 4188

GCD(12, 349) = ( 12 x 349 ) / 4188

= 12 / 349

= 12

Step3:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

So, Greatest Common Divisor of 768, 420, 349, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 212, 748, 760
• GCD of 279, 861, 224, 521
• GCD of 366, 439, 965, 352
• GCD of 965, 783, 938, 367
• GCD of 713, 851, 565, 891

Given numbers are 768, 420, 349, 747
The greatest common divisor of numbers 768, 420, 349, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 420, 349, 747 is 1.

1. What is the GCD of 768, 420, 349, 747?

GCD of given numbers 768, 420, 349, 747 is 1

2. How to calculate the greatest common divisor of 768, 420, 349, 747?

We can find the highest common divisor of 768, 420, 349, 747 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, 420, 349, 747 i.e 1.

3. How can I use the GCD of 768, 420, 349, 747Calculator?

Out the numbers 768, 420, 349, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.