GCD of 172, 426, 200 Calculator

Given Input numbers are 172, 426, 200

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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 (172, 426, 200) = 2.

Given numbers are 172, 426, 200

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 426 are 2 x 3 x 71

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

The highest common occurrence is 2¹

Therefore, GCD of 172, 426, 200 is 2.

Given numbers are 172, 426, 200

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

Apply this formula for all numbers.

Step1:

LCM(172, 426) = 36636

GCD(172, 426) = ( 172 x 426 ) / 36636

= 172 / 426

= 172

Step2:

LCM(2, 200) = 200

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

= 2 / 200

= 2

So, Greatest Common Divisor of 172, 426, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 519, 193
• GCD of 610, 969, 285
• GCD of 882, 199, 498
• GCD of 956, 392, 911
• GCD of 990, 133, 401

Given numbers are 172, 426, 200
The greatest common divisor of numbers 172, 426, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 426, 200 is 2.

1. What is the GCD of 172, 426, 200?

GCD of given numbers 172, 426, 200 is 2

2. How to calculate the greatest common divisor of 172, 426, 200?

We can find the highest common divisor of 172, 426, 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 172, 426, 200 i.e 2.

3. How can I use the GCD of 172, 426, 200Calculator?

Out the numbers 172, 426, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.