GCD of 965, 975, 83, 406 Calculator

Given Input numbers are 965, 975, 83, 406

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 965, 975, 83, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 975, 83, 406 is 1.

Therefore, GCD of numbers 965, 975, 83, 406 is 1

Given Input Data is 965, 975, 83, 406

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 83 is 83

Prime Factorization of 406 is 2 x 7 x 29

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(965, 975) = 188175

GCD(965, 975) = ( 965 x 975 ) / 188175

GCD(965, 975) = 940875 / 188175

GCD(965, 975) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 83

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

LCM(5, 83) = 415

GCD(5, 83) = ( 5 x 83 ) / 415

GCD(5, 83) = 415 / 415

GCD(5, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 965, 975, 83, 406 is 1

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• GCD of 490, 618, 40, 269
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• GCD of 583, 577, 73, 326

1. What is the GCD of 965, 975, 83, 406?

GCD of 965, 975, 83, 406 is 1

2. Where do I get the detailed procedure to find GCD of 965, 975, 83, 406?

You can find a detailed procedure to find GCD of 965, 975, 83, 406 on our page.

3. How to find GCD of 965, 975, 83, 406 on a calculator?

You can find the GCD of 965, 975, 83, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.