GCD of 428, 892, 242, 908 Calculator

Given Input numbers are 428, 892, 242, 908

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

GCD of numbers is the greatest common divisor

So, the GCD (428, 892, 242, 908) = 2.

Given numbers are 428, 892, 242, 908

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 892 are 2 x 2 x 223

Prime factors of 242 are 2 x 11 x 11

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 428, 892, 242, 908 is 2.

Given numbers are 428, 892, 242, 908

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

Apply this formula for all numbers.

Step1:

LCM(428, 892) = 95444

GCD(428, 892) = ( 428 x 892 ) / 95444

= 428 / 892

= 428

Step2:

LCM(4, 242) = 484

GCD(4, 242) = ( 4 x 242 ) / 484

= 4 / 242

= 4

Step3:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2

So, Greatest Common Divisor of 428, 892, 242, 908 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 723, 234, 141
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• GCD of 853, 340, 747, 580
• GCD of 554, 218, 199, 666
• GCD of 594, 529, 658, 279

Given numbers are 428, 892, 242, 908
The greatest common divisor of numbers 428, 892, 242, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 892, 242, 908 is 2.

1. What is the GCD of 428, 892, 242, 908?

GCD of given numbers 428, 892, 242, 908 is 2

2. How to calculate the greatest common divisor of 428, 892, 242, 908?

We can find the highest common divisor of 428, 892, 242, 908 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, 892, 242, 908 i.e 2.

3. How can I use the GCD of 428, 892, 242, 908Calculator?

Out the numbers 428, 892, 242, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.