GCD of 147, 268, 59, 526 Calculator

Given Input numbers are 147, 268, 59, 526

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

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 147, 268, 59, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 268, 59, 526 is 1.

Therefore, GCD of numbers 147, 268, 59, 526 is 1

Given Input Data is 147, 268, 59, 526

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 59 is 59

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(147, 268) = 39396

GCD(147, 268) = ( 147 x 268 ) / 39396

GCD(147, 268) = 39396 / 39396

GCD(147, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 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 147, 268, 59, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 590, 19, 741
• GCD of 271, 958, 32, 390
• GCD of 803, 836, 75, 383
• GCD of 430, 652, 13, 633
• GCD of 677, 904, 80, 972

1. What is the GCD of 147, 268, 59, 526?

GCD of 147, 268, 59, 526 is 1

2. Where do I get the detailed procedure to find GCD of 147, 268, 59, 526?

You can find a detailed procedure to find GCD of 147, 268, 59, 526 on our page.

3. How to find GCD of 147, 268, 59, 526 on a calculator?

You can find the GCD of 147, 268, 59, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.