GCD of 768, 320, 172, 340 Calculator

Given Input numbers are 768, 320, 172, 340

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 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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (768, 320, 172, 340) = 4.

Given numbers are 768, 320, 172, 340

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 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 172 are 2 x 2 x 43

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2²

Therefore, GCD of 768, 320, 172, 340 is 4.

Given numbers are 768, 320, 172, 340

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

Apply this formula for all numbers.

Step1:

LCM(768, 320) = 3840

GCD(768, 320) = ( 768 x 320 ) / 3840

= 768 / 320

= 768

Step2:

LCM(64, 172) = 2752

GCD(64, 172) = ( 64 x 172 ) / 2752

= 64 / 172

= 64

Step3:

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

= 4 / 340

= 4

So, Greatest Common Divisor of 768, 320, 172, 340 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 440, 974, 415
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Given numbers are 768, 320, 172, 340
The greatest common divisor of numbers 768, 320, 172, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 320, 172, 340 is 4.

1. What is the GCD of 768, 320, 172, 340?

GCD of given numbers 768, 320, 172, 340 is 4

2. How to calculate the greatest common divisor of 768, 320, 172, 340?

We can find the highest common divisor of 768, 320, 172, 340 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, 320, 172, 340 i.e 4.

3. How can I use the GCD of 768, 320, 172, 340Calculator?

Out the numbers 768, 320, 172, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.