GCD of 182, 762, 460, 924 Calculator

Given Input numbers are 182, 762, 460, 924

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 762 :

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

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 (182, 762, 460, 924) = 2.

Given numbers are 182, 762, 460, 924

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

Prime factors of 762 are 2 x 3 x 127

Prime factors of 460 are 2 x 2 x 5 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 182, 762, 460, 924 is 2.

Given numbers are 182, 762, 460, 924

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

Apply this formula for all numbers.

Step1:

LCM(182, 762) = 69342

GCD(182, 762) = ( 182 x 762 ) / 69342

= 182 / 762

= 182

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 924) = 924

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

= 2 / 924

= 2

So, Greatest Common Divisor of 182, 762, 460, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 632, 923, 214
• GCD of 440, 305, 408, 338
• GCD of 115, 556, 392, 775
• GCD of 119, 966, 125, 474
• GCD of 125, 581, 871, 813

Given numbers are 182, 762, 460, 924
The greatest common divisor of numbers 182, 762, 460, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 762, 460, 924 is 2.

1. What is the GCD of 182, 762, 460, 924?

GCD of given numbers 182, 762, 460, 924 is 2

2. How to calculate the greatest common divisor of 182, 762, 460, 924?

We can find the highest common divisor of 182, 762, 460, 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 182, 762, 460, 924 i.e 2.

3. How can I use the GCD of 182, 762, 460, 924Calculator?

Out the numbers 182, 762, 460, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.