GCD of 338, 743, 320, 767 Calculator

Given Input numbers are 338, 743, 320, 767

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

GCD of numbers is the greatest common divisor

So, the GCD (338, 743, 320, 767) = 1.

Given numbers are 338, 743, 320, 767

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 743 are 743

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 767 are 13 x 59

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

Given numbers are 338, 743, 320, 767

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

Apply this formula for all numbers.

Step1:

LCM(338, 743) = 251134

GCD(338, 743) = ( 338 x 743 ) / 251134

= 338 / 743

= 338

Step2:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

Step3:

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

= 1 / 767

= 1

So, Greatest Common Divisor of 338, 743, 320, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 297, 889, 248
• GCD of 767, 982, 507, 619
• GCD of 189, 896, 434, 203
• GCD of 172, 483, 448, 181
• GCD of 627, 369, 972, 837

Given numbers are 338, 743, 320, 767
The greatest common divisor of numbers 338, 743, 320, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 743, 320, 767 is 1.

1. What is the GCD of 338, 743, 320, 767?

GCD of given numbers 338, 743, 320, 767 is 1

2. How to calculate the greatest common divisor of 338, 743, 320, 767?

We can find the highest common divisor of 338, 743, 320, 767 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 338, 743, 320, 767 i.e 1.

3. How can I use the GCD of 338, 743, 320, 767Calculator?

Out the numbers 338, 743, 320, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.