GCD of 160, 412, 364, 560 Calculator

Given Input numbers are 160, 412, 364, 560

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 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (160, 412, 364, 560) = 4.

Given numbers are 160, 412, 364, 560

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 412 are 2 x 2 x 103

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

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 160, 412, 364, 560 is 4.

Given numbers are 160, 412, 364, 560

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

Apply this formula for all numbers.

Step1:

LCM(160, 412) = 16480

GCD(160, 412) = ( 160 x 412 ) / 16480

= 160 / 412

= 160

Step2:

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

= 4 / 364

= 4

Step3:

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

= 4 / 560

= 4

So, Greatest Common Divisor of 160, 412, 364, 560 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 527, 430, 441
• GCD of 585, 986, 386, 805
• GCD of 838, 441, 862, 151
• GCD of 963, 662, 701, 446
• GCD of 188, 738, 473, 666

Given numbers are 160, 412, 364, 560
The greatest common divisor of numbers 160, 412, 364, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 412, 364, 560 is 4.

1. What is the GCD of 160, 412, 364, 560?

GCD of given numbers 160, 412, 364, 560 is 4

2. How to calculate the greatest common divisor of 160, 412, 364, 560?

We can find the highest common divisor of 160, 412, 364, 560 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, 412, 364, 560 i.e 4.

3. How can I use the GCD of 160, 412, 364, 560Calculator?

Out the numbers 160, 412, 364, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.