GCD of 840, 110, 720, 198 Calculator

Given Input numbers are 840, 110, 720, 198

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 (840, 110, 720, 198) = 2.

Given numbers are 840, 110, 720, 198

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 110 are 2 x 5 x 11

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 840, 110, 720, 198 is 2.

Given numbers are 840, 110, 720, 198

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

Apply this formula for all numbers.

Step1:

LCM(840, 110) = 9240

GCD(840, 110) = ( 840 x 110 ) / 9240

= 840 / 110

= 840

Step2:

LCM(10, 720) = 720

GCD(10, 720) = ( 10 x 720 ) / 720

= 10 / 720

= 10

Step3:

LCM(10, 198) = 990

GCD(10, 198) = ( 10 x 198 ) / 990

= 10 / 198

= 10

So, Greatest Common Divisor of 840, 110, 720, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 483, 473, 458
• GCD of 245, 110, 902, 853
• GCD of 197, 496, 524, 900
• GCD of 670, 687, 215, 921
• GCD of 897, 438, 972, 676

Given numbers are 840, 110, 720, 198
The greatest common divisor of numbers 840, 110, 720, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 110, 720, 198 is 2.

1. What is the GCD of 840, 110, 720, 198?

GCD of given numbers 840, 110, 720, 198 is 2

2. How to calculate the greatest common divisor of 840, 110, 720, 198?

We can find the highest common divisor of 840, 110, 720, 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 840, 110, 720, 198 i.e 2.

3. How can I use the GCD of 840, 110, 720, 198Calculator?

Out the numbers 840, 110, 720, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.