GCD of 114, 198, 874, 420 Calculator

Given Input numbers are 114, 198, 874, 420

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

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

GCD of numbers is the greatest common divisor

So, the GCD (114, 198, 874, 420) = 2.

Given numbers are 114, 198, 874, 420

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

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

Prime factors of 874 are 2 x 19 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 114, 198, 874, 420 is 2.

Given numbers are 114, 198, 874, 420

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

Apply this formula for all numbers.

Step1:

LCM(114, 198) = 3762

GCD(114, 198) = ( 114 x 198 ) / 3762

= 114 / 198

= 114

Step2:

LCM(6, 874) = 2622

GCD(6, 874) = ( 6 x 874 ) / 2622

= 6 / 874

= 6

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 114, 198, 874, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 817, 478, 442
• GCD of 405, 968, 449, 260
• GCD of 868, 372, 218, 611
• GCD of 549, 319, 133, 711
• GCD of 628, 683, 793, 816

Given numbers are 114, 198, 874, 420
The greatest common divisor of numbers 114, 198, 874, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 198, 874, 420 is 2.

1. What is the GCD of 114, 198, 874, 420?

GCD of given numbers 114, 198, 874, 420 is 2

2. How to calculate the greatest common divisor of 114, 198, 874, 420?

We can find the highest common divisor of 114, 198, 874, 420 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 114, 198, 874, 420 i.e 2.

3. How can I use the GCD of 114, 198, 874, 420Calculator?

Out the numbers 114, 198, 874, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.