GCD of 157, 409, 85, 958 Calculator

Given Input numbers are 157, 409, 85, 958

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 157, 409, 85, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 409, 85, 958 is 1.

Therefore, GCD of numbers 157, 409, 85, 958 is 1

Given Input Data is 157, 409, 85, 958

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

Prime Factorization of 157 is 157

Prime Factorization of 409 is 409

Prime Factorization of 85 is 5 x 17

Prime Factorization of 958 is 2 x 479

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(157, 409) = 64213

GCD(157, 409) = ( 157 x 409 ) / 64213

GCD(157, 409) = 64213 / 64213

GCD(157, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 157, 409, 85, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 947, 43, 609
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• GCD of 665, 388, 71, 903
• GCD of 779, 414, 65, 837

1. What is the GCD of 157, 409, 85, 958?

GCD of 157, 409, 85, 958 is 1

2. Where do I get the detailed procedure to find GCD of 157, 409, 85, 958?

You can find a detailed procedure to find GCD of 157, 409, 85, 958 on our page.

3. How to find GCD of 157, 409, 85, 958 on a calculator?

You can find the GCD of 157, 409, 85, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.