GCD of 924, 340, 498, 324 Calculator

Given Input numbers are 924, 340, 498, 324

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

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

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (924, 340, 498, 324) = 2.

Given numbers are 924, 340, 498, 324

The list of prime factors of all numbers are

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

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

Prime factors of 498 are 2 x 3 x 83

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 924, 340, 498, 324 is 2.

Given numbers are 924, 340, 498, 324

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

Apply this formula for all numbers.

Step1:

LCM(924, 340) = 78540

GCD(924, 340) = ( 924 x 340 ) / 78540

= 924 / 340

= 924

Step2:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

Step3:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

So, Greatest Common Divisor of 924, 340, 498, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 841, 383, 702
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• GCD of 671, 407, 524, 712
• GCD of 105, 289, 694, 718
• GCD of 799, 915, 359, 608

Given numbers are 924, 340, 498, 324
The greatest common divisor of numbers 924, 340, 498, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 340, 498, 324 is 2.

1. What is the GCD of 924, 340, 498, 324?

GCD of given numbers 924, 340, 498, 324 is 2

2. How to calculate the greatest common divisor of 924, 340, 498, 324?

We can find the highest common divisor of 924, 340, 498, 324 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 924, 340, 498, 324 i.e 2.

3. How can I use the GCD of 924, 340, 498, 324Calculator?

Out the numbers 924, 340, 498, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.