GCD of 69, 428, 952, 421 Calculator

Given Input numbers are 69, 428, 952, 421

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 69, 428, 952, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 428, 952, 421 is 1.

Therefore, GCD of numbers 69, 428, 952, 421 is 1

Given Input Data is 69, 428, 952, 421

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 421 is 421

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(69, 428) = 29532

GCD(69, 428) = ( 69 x 428 ) / 29532

GCD(69, 428) = 29532 / 29532

GCD(69, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 69, 428, 952, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 261, 336, 386
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• GCD of 77, 813, 218, 231
• GCD of 37, 971, 408, 615
• GCD of 63, 392, 671, 244

1. What is the GCD of 69, 428, 952, 421?

GCD of 69, 428, 952, 421 is 1

2. Where do I get the detailed procedure to find GCD of 69, 428, 952, 421?

You can find a detailed procedure to find GCD of 69, 428, 952, 421 on our page.

3. How to find GCD of 69, 428, 952, 421 on a calculator?

You can find the GCD of 69, 428, 952, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.