GCD of 208, 266, 762, 924 Calculator

Given Input numbers are 208, 266, 762, 924

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

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (208, 266, 762, 924) = 2.

Given numbers are 208, 266, 762, 924

The list of prime factors of all numbers are

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

Prime factors of 266 are 2 x 7 x 19

Prime factors of 762 are 2 x 3 x 127

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 208, 266, 762, 924 is 2.

Given numbers are 208, 266, 762, 924

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

Apply this formula for all numbers.

Step1:

LCM(208, 266) = 27664

GCD(208, 266) = ( 208 x 266 ) / 27664

= 208 / 266

= 208

Step2:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 208, 266, 762, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 583, 177, 426
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Given numbers are 208, 266, 762, 924
The greatest common divisor of numbers 208, 266, 762, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 266, 762, 924 is 2.

1. What is the GCD of 208, 266, 762, 924?

GCD of given numbers 208, 266, 762, 924 is 2

2. How to calculate the greatest common divisor of 208, 266, 762, 924?

We can find the highest common divisor of 208, 266, 762, 924 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 208, 266, 762, 924 i.e 2.

3. How can I use the GCD of 208, 266, 762, 924Calculator?

Out the numbers 208, 266, 762, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.