GCD of 200, 424, 854, 942 Calculator

Given Input numbers are 200, 424, 854, 942

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (200, 424, 854, 942) = 2.

Given numbers are 200, 424, 854, 942

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 854 are 2 x 7 x 61

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 200, 424, 854, 942 is 2.

Given numbers are 200, 424, 854, 942

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

Apply this formula for all numbers.

Step1:

LCM(200, 424) = 10600

GCD(200, 424) = ( 200 x 424 ) / 10600

= 200 / 424

= 200

Step2:

LCM(8, 854) = 3416

GCD(8, 854) = ( 8 x 854 ) / 3416

= 8 / 854

= 8

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 200, 424, 854, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 365, 214, 800
• GCD of 200, 942, 753, 969
• GCD of 925, 557, 380, 266
• GCD of 196, 675, 652, 462
• GCD of 460, 859, 803, 964

Given numbers are 200, 424, 854, 942
The greatest common divisor of numbers 200, 424, 854, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 424, 854, 942 is 2.

1. What is the GCD of 200, 424, 854, 942?

GCD of given numbers 200, 424, 854, 942 is 2

2. How to calculate the greatest common divisor of 200, 424, 854, 942?

We can find the highest common divisor of 200, 424, 854, 942 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 200, 424, 854, 942 i.e 2.

3. How can I use the GCD of 200, 424, 854, 942Calculator?

Out the numbers 200, 424, 854, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.