GCD of 768, 428, 940 Calculator

Given Input numbers are 768, 428, 940

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (768, 428, 940) = 4.

Given numbers are 768, 428, 940

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 428 are 2 x 2 x 107

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2²

Therefore, GCD of 768, 428, 940 is 4.

Given numbers are 768, 428, 940

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

Apply this formula for all numbers.

Step1:

LCM(768, 428) = 82176

GCD(768, 428) = ( 768 x 428 ) / 82176

= 768 / 428

= 768

Step2:

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

= 4 / 940

= 4

So, Greatest Common Divisor of 768, 428, 940 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 964, 753
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• GCD of 733, 745, 561
• GCD of 360, 670, 861
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Given numbers are 768, 428, 940
The greatest common divisor of numbers 768, 428, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 428, 940 is 4.

1. What is the GCD of 768, 428, 940?

GCD of given numbers 768, 428, 940 is 4

2. How to calculate the greatest common divisor of 768, 428, 940?

We can find the highest common divisor of 768, 428, 940 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, 428, 940 i.e 4.

3. How can I use the GCD of 768, 428, 940Calculator?

Out the numbers 768, 428, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.