GCD of 160, 358, 188, 312 Calculator

Given Input numbers are 160, 358, 188, 312

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (160, 358, 188, 312) = 2.

Given numbers are 160, 358, 188, 312

The list of prime factors of all numbers are

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 358 are 2 x 179

Prime factors of 188 are 2 x 2 x 47

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 160, 358, 188, 312 is 2.

Given numbers are 160, 358, 188, 312

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

Apply this formula for all numbers.

Step1:

LCM(160, 358) = 28640

GCD(160, 358) = ( 160 x 358 ) / 28640

= 160 / 358

= 160

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 160, 358, 188, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 840, 615, 168
• GCD of 174, 402, 703, 364
• GCD of 559, 918, 283, 676
• GCD of 574, 807, 950, 363
• GCD of 778, 106, 178, 985

Given numbers are 160, 358, 188, 312
The greatest common divisor of numbers 160, 358, 188, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 358, 188, 312 is 2.

1. What is the GCD of 160, 358, 188, 312?

GCD of given numbers 160, 358, 188, 312 is 2

2. How to calculate the greatest common divisor of 160, 358, 188, 312?

We can find the highest common divisor of 160, 358, 188, 312 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 160, 358, 188, 312 i.e 2.

3. How can I use the GCD of 160, 358, 188, 312Calculator?

Out the numbers 160, 358, 188, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.