GCD of 998, 560, 238, 924 Calculator

Given Input numbers are 998, 560, 238, 924

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

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 (998, 560, 238, 924) = 2.

Given numbers are 998, 560, 238, 924

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 238 are 2 x 7 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 998, 560, 238, 924 is 2.

Given numbers are 998, 560, 238, 924

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

Apply this formula for all numbers.

Step1:

LCM(998, 560) = 279440

GCD(998, 560) = ( 998 x 560 ) / 279440

= 998 / 560

= 998

Step2:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

Step3:

LCM(2, 924) = 924

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

= 2 / 924

= 2

So, Greatest Common Divisor of 998, 560, 238, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 798, 135, 163
• GCD of 778, 776, 702, 157
• GCD of 175, 479, 484, 616
• GCD of 738, 148, 696, 907
• GCD of 625, 860, 855, 776

Given numbers are 998, 560, 238, 924
The greatest common divisor of numbers 998, 560, 238, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 560, 238, 924 is 2.

1. What is the GCD of 998, 560, 238, 924?

GCD of given numbers 998, 560, 238, 924 is 2

2. How to calculate the greatest common divisor of 998, 560, 238, 924?

We can find the highest common divisor of 998, 560, 238, 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 998, 560, 238, 924 i.e 2.

3. How can I use the GCD of 998, 560, 238, 924Calculator?

Out the numbers 998, 560, 238, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.