GCD of 692, 892, 734, 147 Calculator

Given Input numbers are 692, 892, 734, 147

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 692, 892, 734, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 892, 734, 147 is 1.

Therefore, GCD of numbers 692, 892, 734, 147 is 1

Given Input Data is 692, 892, 734, 147

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 892 is 2 x 2 x 223

Prime Factorization of 734 is 2 x 367

Prime Factorization of 147 is 3 x 7 x 7

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, 892) = 154316

GCD(692, 892) = ( 692 x 892 ) / 154316

GCD(692, 892) = 617264 / 154316

GCD(692, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 734

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

LCM(4, 734) = 1468

GCD(4, 734) = ( 4 x 734 ) / 1468

GCD(4, 734) = 2936 / 1468

GCD(4, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 692, 892, 734, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 755, 826, 366
• GCD of 792, 385, 318, 955
• GCD of 444, 838, 106, 172
• GCD of 132, 136, 859, 381
• GCD of 833, 628, 432, 952

1. What is the GCD of 692, 892, 734, 147?

GCD of 692, 892, 734, 147 is 1

2. Where do I get the detailed procedure to find GCD of 692, 892, 734, 147?

You can find a detailed procedure to find GCD of 692, 892, 734, 147 on our page.

3. How to find GCD of 692, 892, 734, 147 on a calculator?

You can find the GCD of 692, 892, 734, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.