GCD of 368, 434, 916, 460 Calculator

Given Input numbers are 368, 434, 916, 460

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (368, 434, 916, 460) = 2.

Given numbers are 368, 434, 916, 460

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 434 are 2 x 7 x 31

Prime factors of 916 are 2 x 2 x 229

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 368, 434, 916, 460 is 2.

Given numbers are 368, 434, 916, 460

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

Apply this formula for all numbers.

Step1:

LCM(368, 434) = 79856

GCD(368, 434) = ( 368 x 434 ) / 79856

= 368 / 434

= 368

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 368, 434, 916, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 741, 890, 694
• GCD of 115, 608, 193, 576
• GCD of 927, 463, 501, 646
• GCD of 118, 271, 174, 523
• GCD of 702, 793, 725, 248

Given numbers are 368, 434, 916, 460
The greatest common divisor of numbers 368, 434, 916, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 434, 916, 460 is 2.

1. What is the GCD of 368, 434, 916, 460?

GCD of given numbers 368, 434, 916, 460 is 2

2. How to calculate the greatest common divisor of 368, 434, 916, 460?

We can find the highest common divisor of 368, 434, 916, 460 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 368, 434, 916, 460 i.e 2.

3. How can I use the GCD of 368, 434, 916, 460Calculator?

Out the numbers 368, 434, 916, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.