GCD of 266, 510, 340, 824 Calculator

Given Input numbers are 266, 510, 340, 824

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

Divisors of 266 :

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

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (266, 510, 340, 824) = 2.

Given numbers are 266, 510, 340, 824

The list of prime factors of all numbers are

Prime factors of 266 are 2 x 7 x 19

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 266, 510, 340, 824 is 2.

Given numbers are 266, 510, 340, 824

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

Apply this formula for all numbers.

Step1:

LCM(266, 510) = 67830

GCD(266, 510) = ( 266 x 510 ) / 67830

= 266 / 510

= 266

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 266, 510, 340, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 937, 917, 847
• GCD of 749, 789, 461, 940
• GCD of 402, 801, 728, 983
• GCD of 501, 288, 702, 408
• GCD of 979, 340, 378, 350

Given numbers are 266, 510, 340, 824
The greatest common divisor of numbers 266, 510, 340, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 510, 340, 824 is 2.

1. What is the GCD of 266, 510, 340, 824?

GCD of given numbers 266, 510, 340, 824 is 2

2. How to calculate the greatest common divisor of 266, 510, 340, 824?

We can find the highest common divisor of 266, 510, 340, 824 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 266, 510, 340, 824 i.e 2.

3. How can I use the GCD of 266, 510, 340, 824Calculator?

Out the numbers 266, 510, 340, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.