GCD of 342, 646, 946, 200 Calculator

Given Input numbers are 342, 646, 946, 200

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

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

GCD of numbers is the greatest common divisor

So, the GCD (342, 646, 946, 200) = 2.

Given numbers are 342, 646, 946, 200

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 646 are 2 x 17 x 19

Prime factors of 946 are 2 x 11 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 342, 646, 946, 200 is 2.

Given numbers are 342, 646, 946, 200

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

Apply this formula for all numbers.

Step1:

LCM(342, 646) = 5814

GCD(342, 646) = ( 342 x 646 ) / 5814

= 342 / 646

= 342

Step2:

LCM(38, 946) = 17974

GCD(38, 946) = ( 38 x 946 ) / 17974

= 38 / 946

= 38

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 342, 646, 946, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 422, 716, 691
• GCD of 105, 731, 761, 120
• GCD of 965, 634, 923, 179
• GCD of 942, 578, 290, 230
• GCD of 216, 272, 976, 965

Given numbers are 342, 646, 946, 200
The greatest common divisor of numbers 342, 646, 946, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 646, 946, 200 is 2.

1. What is the GCD of 342, 646, 946, 200?

GCD of given numbers 342, 646, 946, 200 is 2

2. How to calculate the greatest common divisor of 342, 646, 946, 200?

We can find the highest common divisor of 342, 646, 946, 200 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 342, 646, 946, 200 i.e 2.

3. How can I use the GCD of 342, 646, 946, 200Calculator?

Out the numbers 342, 646, 946, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.