GCD of 364, 224, 370, 466 Calculator

Given Input numbers are 364, 224, 370, 466

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (364, 224, 370, 466) = 2.

Given numbers are 364, 224, 370, 466

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 370 are 2 x 5 x 37

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 364, 224, 370, 466 is 2.

Given numbers are 364, 224, 370, 466

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

Apply this formula for all numbers.

Step1:

LCM(364, 224) = 2912

GCD(364, 224) = ( 364 x 224 ) / 2912

= 364 / 224

= 364

Step2:

LCM(28, 370) = 5180

GCD(28, 370) = ( 28 x 370 ) / 5180

= 28 / 370

= 28

Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 364, 224, 370, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 999, 773, 983
• GCD of 962, 498, 811, 674
• GCD of 320, 960, 489, 741
• GCD of 802, 882, 970, 898
• GCD of 518, 593, 228, 536

Given numbers are 364, 224, 370, 466
The greatest common divisor of numbers 364, 224, 370, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 224, 370, 466 is 2.

1. What is the GCD of 364, 224, 370, 466?

GCD of given numbers 364, 224, 370, 466 is 2

2. How to calculate the greatest common divisor of 364, 224, 370, 466?

We can find the highest common divisor of 364, 224, 370, 466 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 364, 224, 370, 466 i.e 2.

3. How can I use the GCD of 364, 224, 370, 466Calculator?

Out the numbers 364, 224, 370, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.