GCD of 128, 150, 504, 826 Calculator

Given Input numbers are 128, 150, 504, 826

In the factoring method, we have to find the divisors of all numbers

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (128, 150, 504, 826) = 2.

Given numbers are 128, 150, 504, 826

The list of prime factors of all numbers are

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 128, 150, 504, 826 is 2.

Given numbers are 128, 150, 504, 826

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(128, 150) = 9600

GCD(128, 150) = ( 128 x 150 ) / 9600

= 128 / 150

= 128

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 128, 150, 504, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 419, 176, 546
• GCD of 443, 292, 706, 473
• GCD of 204, 184, 505, 176
• GCD of 367, 286, 100, 165
• GCD of 171, 633, 327, 815

Given numbers are 128, 150, 504, 826
The greatest common divisor of numbers 128, 150, 504, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 150, 504, 826 is 2.

1. What is the GCD of 128, 150, 504, 826?

GCD of given numbers 128, 150, 504, 826 is 2

2. How to calculate the greatest common divisor of 128, 150, 504, 826?

We can find the highest common divisor of 128, 150, 504, 826 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 128, 150, 504, 826 i.e 2.

3. How can I use the GCD of 128, 150, 504, 826Calculator?

Out the numbers 128, 150, 504, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.