GCD of 160, 656, 529, 942 Calculator

Given Input numbers are 160, 656, 529, 942

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 160, 656, 529, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 656, 529, 942 is 1.

Therefore, GCD of numbers 160, 656, 529, 942 is 1

Given Input Data is 160, 656, 529, 942

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 529 is 23 x 23

Prime Factorization of 942 is 2 x 3 x 157

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(160, 656) = 6560

GCD(160, 656) = ( 160 x 656 ) / 6560

GCD(160, 656) = 104960 / 6560

GCD(160, 656) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 529

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

LCM(16, 529) = 8464

GCD(16, 529) = ( 16 x 529 ) / 8464

GCD(16, 529) = 8464 / 8464

GCD(16, 529) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 160, 656, 529, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 871, 121, 184
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• GCD of 724, 931, 860, 469

1. What is the GCD of 160, 656, 529, 942?

GCD of 160, 656, 529, 942 is 1

2. Where do I get the detailed procedure to find GCD of 160, 656, 529, 942?

You can find a detailed procedure to find GCD of 160, 656, 529, 942 on our page.

3. How to find GCD of 160, 656, 529, 942 on a calculator?

You can find the GCD of 160, 656, 529, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.