GCD of 921, 149, 48, 526 Calculator

Given Input numbers are 921, 149, 48, 526

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 149

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

1, 149

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 921, 149, 48, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 149, 48, 526 is 1.

Therefore, GCD of numbers 921, 149, 48, 526 is 1

Given Input Data is 921, 149, 48, 526

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 149 is 149

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 526 is 2 x 263

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(921, 149) = 137229

GCD(921, 149) = ( 921 x 149 ) / 137229

GCD(921, 149) = 137229 / 137229

GCD(921, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 921, 149, 48, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 260, 18, 115
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• GCD of 331, 652, 98, 467
• GCD of 256, 345, 24, 464

1. What is the GCD of 921, 149, 48, 526?

GCD of 921, 149, 48, 526 is 1

2. Where do I get the detailed procedure to find GCD of 921, 149, 48, 526?

You can find a detailed procedure to find GCD of 921, 149, 48, 526 on our page.

3. How to find GCD of 921, 149, 48, 526 on a calculator?

You can find the GCD of 921, 149, 48, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.