GCD of 814, 292, 600, 172 Calculator

Given Input numbers are 814, 292, 600, 172

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (814, 292, 600, 172) = 2.

Given numbers are 814, 292, 600, 172

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 292 are 2 x 2 x 73

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 814, 292, 600, 172 is 2.

Given numbers are 814, 292, 600, 172

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

Apply this formula for all numbers.

Step1:

LCM(814, 292) = 118844

GCD(814, 292) = ( 814 x 292 ) / 118844

= 814 / 292

= 814

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 814, 292, 600, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 824, 863, 523
• GCD of 506, 378, 512, 109
• GCD of 270, 279, 318, 962
• GCD of 274, 271, 673, 702
• GCD of 443, 817, 582, 837

Given numbers are 814, 292, 600, 172
The greatest common divisor of numbers 814, 292, 600, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 292, 600, 172 is 2.

1. What is the GCD of 814, 292, 600, 172?

GCD of given numbers 814, 292, 600, 172 is 2

2. How to calculate the greatest common divisor of 814, 292, 600, 172?

We can find the highest common divisor of 814, 292, 600, 172 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 814, 292, 600, 172 i.e 2.

3. How can I use the GCD of 814, 292, 600, 172Calculator?

Out the numbers 814, 292, 600, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.