GCD of 844, 450, 740, 820 Calculator

Given Input numbers are 844, 450, 740, 820

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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

GCD of numbers is the greatest common divisor

So, the GCD (844, 450, 740, 820) = 2.

Given numbers are 844, 450, 740, 820

The list of prime factors of all numbers are

Prime factors of 844 are 2 x 2 x 211

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 740 are 2 x 2 x 5 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 844, 450, 740, 820 is 2.

Given numbers are 844, 450, 740, 820

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

Apply this formula for all numbers.

Step1:

LCM(844, 450) = 189900

GCD(844, 450) = ( 844 x 450 ) / 189900

= 844 / 450

= 844

Step2:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 844, 450, 740, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 434, 907, 213
• GCD of 958, 837, 524, 325
• GCD of 910, 872, 326, 759
• GCD of 909, 662, 867, 744
• GCD of 482, 635, 274, 769

Given numbers are 844, 450, 740, 820
The greatest common divisor of numbers 844, 450, 740, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 450, 740, 820 is 2.

1. What is the GCD of 844, 450, 740, 820?

GCD of given numbers 844, 450, 740, 820 is 2

2. How to calculate the greatest common divisor of 844, 450, 740, 820?

We can find the highest common divisor of 844, 450, 740, 820 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 844, 450, 740, 820 i.e 2.

3. How can I use the GCD of 844, 450, 740, 820Calculator?

Out the numbers 844, 450, 740, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.