GCD of 692, 624, 67, 458 Calculator

Given Input numbers are 692, 624, 67, 458

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 692, 624, 67, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 624, 67, 458 is 1.

Therefore, GCD of numbers 692, 624, 67, 458 is 1

Given Input Data is 692, 624, 67, 458

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 67 is 67

Prime Factorization of 458 is 2 x 229

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(692, 624) = 107952

GCD(692, 624) = ( 692 x 624 ) / 107952

GCD(692, 624) = 431808 / 107952

GCD(692, 624) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 67

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

LCM(4, 67) = 268

GCD(4, 67) = ( 4 x 67 ) / 268

GCD(4, 67) = 268 / 268

GCD(4, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 692, 624, 67, 458 is 1

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• GCD of 867, 410, 19, 759
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• GCD of 881, 488, 67, 528
• GCD of 196, 904, 49, 790

1. What is the GCD of 692, 624, 67, 458?

GCD of 692, 624, 67, 458 is 1

2. Where do I get the detailed procedure to find GCD of 692, 624, 67, 458?

You can find a detailed procedure to find GCD of 692, 624, 67, 458 on our page.

3. How to find GCD of 692, 624, 67, 458 on a calculator?

You can find the GCD of 692, 624, 67, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.