GCD of 892, 820, 676, 442 Calculator

Given Input numbers are 892, 820, 676, 442

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

Divisors of 892 :

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

1, 2, 4, 223, 446, 892

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (892, 820, 676, 442) = 2.

Given numbers are 892, 820, 676, 442

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 892, 820, 676, 442 is 2.

Given numbers are 892, 820, 676, 442

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

Apply this formula for all numbers.

Step1:

LCM(892, 820) = 182860

GCD(892, 820) = ( 892 x 820 ) / 182860

= 892 / 820

= 892

Step2:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

Step3:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

So, Greatest Common Divisor of 892, 820, 676, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 886, 735, 547
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Given numbers are 892, 820, 676, 442
The greatest common divisor of numbers 892, 820, 676, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 820, 676, 442 is 2.

1. What is the GCD of 892, 820, 676, 442?

GCD of given numbers 892, 820, 676, 442 is 2

2. How to calculate the greatest common divisor of 892, 820, 676, 442?

We can find the highest common divisor of 892, 820, 676, 442 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 892, 820, 676, 442 i.e 2.

3. How can I use the GCD of 892, 820, 676, 442Calculator?

Out the numbers 892, 820, 676, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.