GCD of 924, 298, 562, 498 Calculator

Given Input numbers are 924, 298, 562, 498

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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 498 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (924, 298, 562, 498) = 2.

Given numbers are 924, 298, 562, 498

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 298 are 2 x 149

Prime factors of 562 are 2 x 281

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 924, 298, 562, 498 is 2.

Given numbers are 924, 298, 562, 498

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

Apply this formula for all numbers.

Step1:

LCM(924, 298) = 137676

GCD(924, 298) = ( 924 x 298 ) / 137676

= 924 / 298

= 924

Step2:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2

Step3:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

So, Greatest Common Divisor of 924, 298, 562, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 291, 511, 441
• GCD of 522, 996, 162, 887
• GCD of 110, 362, 154, 764
• GCD of 798, 496, 157, 731
• GCD of 470, 744, 716, 859

Given numbers are 924, 298, 562, 498
The greatest common divisor of numbers 924, 298, 562, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 298, 562, 498 is 2.

1. What is the GCD of 924, 298, 562, 498?

GCD of given numbers 924, 298, 562, 498 is 2

2. How to calculate the greatest common divisor of 924, 298, 562, 498?

We can find the highest common divisor of 924, 298, 562, 498 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, 298, 562, 498 i.e 2.

3. How can I use the GCD of 924, 298, 562, 498Calculator?

Out the numbers 924, 298, 562, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.