GCD of 160, 420, 716, 171 Calculator

Given Input numbers are 160, 420, 716, 171

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (160, 420, 716, 171) = 1.

Given numbers are 160, 420, 716, 171

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 716 are 2 x 2 x 179

Prime factors of 171 are 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 160, 420, 716, 171

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

Apply this formula for all numbers.

Step1:

LCM(160, 420) = 3360

GCD(160, 420) = ( 160 x 420 ) / 3360

= 160 / 420

= 160

Step2:

LCM(20, 716) = 3580

GCD(20, 716) = ( 20 x 716 ) / 3580

= 20 / 716

= 20

Step3:

LCM(4, 171) = 684

GCD(4, 171) = ( 4 x 171 ) / 684

= 4 / 171

= 4

So, Greatest Common Divisor of 160, 420, 716, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 269, 978, 982
• GCD of 917, 687, 479, 604
• GCD of 275, 875, 804, 798
• GCD of 967, 169, 739, 841
• GCD of 536, 295, 177, 100

Given numbers are 160, 420, 716, 171
The greatest common divisor of numbers 160, 420, 716, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 420, 716, 171 is 1.

1. What is the GCD of 160, 420, 716, 171?

GCD of given numbers 160, 420, 716, 171 is 1

2. How to calculate the greatest common divisor of 160, 420, 716, 171?

We can find the highest common divisor of 160, 420, 716, 171 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, 420, 716, 171 i.e 1.

3. How can I use the GCD of 160, 420, 716, 171Calculator?

Out the numbers 160, 420, 716, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.