GCD of 334, 892, 164, 270 Calculator

Given Input numbers are 334, 892, 164, 270

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (334, 892, 164, 270) = 2.

Given numbers are 334, 892, 164, 270

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 892 are 2 x 2 x 223

Prime factors of 164 are 2 x 2 x 41

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 334, 892, 164, 270 is 2.

Given numbers are 334, 892, 164, 270

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

Apply this formula for all numbers.

Step1:

LCM(334, 892) = 148964

GCD(334, 892) = ( 334 x 892 ) / 148964

= 334 / 892

= 334

Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

Step3:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

So, Greatest Common Divisor of 334, 892, 164, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 626, 113, 832
• GCD of 375, 285, 342, 208
• GCD of 631, 585, 467, 469
• GCD of 744, 497, 791, 414
• GCD of 272, 306, 449, 545

Given numbers are 334, 892, 164, 270
The greatest common divisor of numbers 334, 892, 164, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 892, 164, 270 is 2.

1. What is the GCD of 334, 892, 164, 270?

GCD of given numbers 334, 892, 164, 270 is 2

2. How to calculate the greatest common divisor of 334, 892, 164, 270?

We can find the highest common divisor of 334, 892, 164, 270 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 334, 892, 164, 270 i.e 2.

3. How can I use the GCD of 334, 892, 164, 270Calculator?

Out the numbers 334, 892, 164, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.