GCD of 512, 504, 148, 266 Calculator

Given Input numbers are 512, 504, 148, 266

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

GCD of numbers is the greatest common divisor

So, the GCD (512, 504, 148, 266) = 2.

Given numbers are 512, 504, 148, 266

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 148 are 2 x 2 x 37

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 512, 504, 148, 266 is 2.

Given numbers are 512, 504, 148, 266

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

Apply this formula for all numbers.

Step1:

LCM(512, 504) = 32256

GCD(512, 504) = ( 512 x 504 ) / 32256

= 512 / 504

= 512

Step2:

LCM(8, 148) = 296

GCD(8, 148) = ( 8 x 148 ) / 296

= 8 / 148

= 8

Step3:

LCM(4, 266) = 532

GCD(4, 266) = ( 4 x 266 ) / 532

= 4 / 266

= 4

So, Greatest Common Divisor of 512, 504, 148, 266 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 685, 206, 269
• GCD of 149, 571, 624, 690
• GCD of 357, 286, 942, 180
• GCD of 203, 605, 939, 159
• GCD of 877, 504, 652, 769

Given numbers are 512, 504, 148, 266
The greatest common divisor of numbers 512, 504, 148, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 504, 148, 266 is 2.

1. What is the GCD of 512, 504, 148, 266?

GCD of given numbers 512, 504, 148, 266 is 2

2. How to calculate the greatest common divisor of 512, 504, 148, 266?

We can find the highest common divisor of 512, 504, 148, 266 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 512, 504, 148, 266 i.e 2.

3. How can I use the GCD of 512, 504, 148, 266Calculator?

Out the numbers 512, 504, 148, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.