GCD of 782, 684, 208, 266 Calculator

Given Input numbers are 782, 684, 208, 266

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 (782, 684, 208, 266) = 2.

Given numbers are 782, 684, 208, 266

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 782, 684, 208, 266 is 2.

Given numbers are 782, 684, 208, 266

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

Apply this formula for all numbers.

Step1:

LCM(782, 684) = 267444

GCD(782, 684) = ( 782 x 684 ) / 267444

= 782 / 684

= 782

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

= 2 / 266

= 2

So, Greatest Common Divisor of 782, 684, 208, 266 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 609, 526, 799
• GCD of 938, 842, 746, 549
• GCD of 924, 270, 851, 179
• GCD of 121, 549, 309, 949
• GCD of 147, 881, 665, 712

Given numbers are 782, 684, 208, 266
The greatest common divisor of numbers 782, 684, 208, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 684, 208, 266 is 2.

1. What is the GCD of 782, 684, 208, 266?

GCD of given numbers 782, 684, 208, 266 is 2

2. How to calculate the greatest common divisor of 782, 684, 208, 266?

We can find the highest common divisor of 782, 684, 208, 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 782, 684, 208, 266 i.e 2.

3. How can I use the GCD of 782, 684, 208, 266Calculator?

Out the numbers 782, 684, 208, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.