GCD of 874, 444, 440, 362 Calculator

Given Input numbers are 874, 444, 440, 362

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (874, 444, 440, 362) = 2.

Given numbers are 874, 444, 440, 362

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 874, 444, 440, 362 is 2.

Given numbers are 874, 444, 440, 362

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

Apply this formula for all numbers.

Step1:

LCM(874, 444) = 194028

GCD(874, 444) = ( 874 x 444 ) / 194028

= 874 / 444

= 874

Step2:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

Step3:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

So, Greatest Common Divisor of 874, 444, 440, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 474, 757, 500
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Given numbers are 874, 444, 440, 362
The greatest common divisor of numbers 874, 444, 440, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 444, 440, 362 is 2.

1. What is the GCD of 874, 444, 440, 362?

GCD of given numbers 874, 444, 440, 362 is 2

2. How to calculate the greatest common divisor of 874, 444, 440, 362?

We can find the highest common divisor of 874, 444, 440, 362 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 874, 444, 440, 362 i.e 2.

3. How can I use the GCD of 874, 444, 440, 362Calculator?

Out the numbers 874, 444, 440, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.