GCD of 64, 526, 103, 420 Calculator

Given Input numbers are 64, 526, 103, 420

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 526

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

1, 2, 263, 526

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 64, 526, 103, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 526, 103, 420 is 1.

Therefore, GCD of numbers 64, 526, 103, 420 is 1

Given Input Data is 64, 526, 103, 420

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 526 is 2 x 263

Prime Factorization of 103 is 103

Prime Factorization of 420 is 2 x 2 x 3 x 5 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(64, 526) = 16832

GCD(64, 526) = ( 64 x 526 ) / 16832

GCD(64, 526) = 33664 / 16832

GCD(64, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 103

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

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

GCD(2, 103) = 206 / 206

GCD(2, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 64, 526, 103, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 372, 852, 364
• GCD of 62, 427, 489, 747
• GCD of 69, 643, 272, 964
• GCD of 21, 228, 942, 497
• GCD of 35, 712, 542, 755

1. What is the GCD of 64, 526, 103, 420?

GCD of 64, 526, 103, 420 is 1

2. Where do I get the detailed procedure to find GCD of 64, 526, 103, 420?

You can find a detailed procedure to find GCD of 64, 526, 103, 420 on our page.

3. How to find GCD of 64, 526, 103, 420 on a calculator?

You can find the GCD of 64, 526, 103, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.