GCD of 527, 402, 701, 123 Calculator

Given Input numbers are 527, 402, 701, 123

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 527, 402, 701, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 402, 701, 123 is 1.

Therefore, GCD of numbers 527, 402, 701, 123 is 1

Given Input Data is 527, 402, 701, 123

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 701 is 701

Prime Factorization of 123 is 3 x 41

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(527, 402) = 211854

GCD(527, 402) = ( 527 x 402 ) / 211854

GCD(527, 402) = 211854 / 211854

GCD(527, 402) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 527, 402, 701, 123 is 1

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1. What is the GCD of 527, 402, 701, 123?

GCD of 527, 402, 701, 123 is 1

2. Where do I get the detailed procedure to find GCD of 527, 402, 701, 123?

You can find a detailed procedure to find GCD of 527, 402, 701, 123 on our page.

3. How to find GCD of 527, 402, 701, 123 on a calculator?

You can find the GCD of 527, 402, 701, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.