GCD of 420, 924, 716, 198 Calculator

Given Input numbers are 420, 924, 716, 198

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (420, 924, 716, 198) = 2.

Given numbers are 420, 924, 716, 198

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 716 are 2 x 2 x 179

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 420, 924, 716, 198 is 2.

Given numbers are 420, 924, 716, 198

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

Apply this formula for all numbers.

Step1:

LCM(420, 924) = 4620

GCD(420, 924) = ( 420 x 924 ) / 4620

= 420 / 924

= 420

Step2:

LCM(84, 716) = 15036

GCD(84, 716) = ( 84 x 716 ) / 15036

= 84 / 716

= 84

Step3:

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4

So, Greatest Common Divisor of 420, 924, 716, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 370, 871, 147
• GCD of 212, 141, 743, 319
• GCD of 424, 936, 936, 732
• GCD of 703, 745, 960, 772
• GCD of 720, 421, 194, 227

Given numbers are 420, 924, 716, 198
The greatest common divisor of numbers 420, 924, 716, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 924, 716, 198 is 2.

1. What is the GCD of 420, 924, 716, 198?

GCD of given numbers 420, 924, 716, 198 is 2

2. How to calculate the greatest common divisor of 420, 924, 716, 198?

We can find the highest common divisor of 420, 924, 716, 198 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 420, 924, 716, 198 i.e 2.

3. How can I use the GCD of 420, 924, 716, 198Calculator?

Out the numbers 420, 924, 716, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.