GCD of 428, 826, 344, 940 Calculator

Given Input numbers are 428, 826, 344, 940

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

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 (428, 826, 344, 940) = 2.

Given numbers are 428, 826, 344, 940

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 826 are 2 x 7 x 59

Prime factors of 344 are 2 x 2 x 2 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 428, 826, 344, 940 is 2.

Given numbers are 428, 826, 344, 940

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

Apply this formula for all numbers.

Step1:

LCM(428, 826) = 176764

GCD(428, 826) = ( 428 x 826 ) / 176764

= 428 / 826

= 428

Step2:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 428, 826, 344, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 638, 250, 617
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• GCD of 164, 106, 532, 508

Given numbers are 428, 826, 344, 940
The greatest common divisor of numbers 428, 826, 344, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 826, 344, 940 is 2.

1. What is the GCD of 428, 826, 344, 940?

GCD of given numbers 428, 826, 344, 940 is 2

2. How to calculate the greatest common divisor of 428, 826, 344, 940?

We can find the highest common divisor of 428, 826, 344, 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 428, 826, 344, 940 i.e 2.

3. How can I use the GCD of 428, 826, 344, 940Calculator?

Out the numbers 428, 826, 344, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.