GCD of 149, 826, 953, 722 Calculator

Given Input numbers are 149, 826, 953, 722

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 149, 826, 953, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 826, 953, 722 is 1.

Therefore, GCD of numbers 149, 826, 953, 722 is 1

Given Input Data is 149, 826, 953, 722

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

Prime Factorization of 149 is 149

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 953 is 953

Prime Factorization of 722 is 2 x 19 x 19

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(149, 826) = 123074

GCD(149, 826) = ( 149 x 826 ) / 123074

GCD(149, 826) = 123074 / 123074

GCD(149, 826) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 149, 826, 953, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 921, 347, 909
• GCD of 647, 850, 441, 711
• GCD of 665, 304, 475, 183
• GCD of 145, 988, 176, 716
• GCD of 590, 354, 162, 183

1. What is the GCD of 149, 826, 953, 722?

GCD of 149, 826, 953, 722 is 1

2. Where do I get the detailed procedure to find GCD of 149, 826, 953, 722?

You can find a detailed procedure to find GCD of 149, 826, 953, 722 on our page.

3. How to find GCD of 149, 826, 953, 722 on a calculator?

You can find the GCD of 149, 826, 953, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.