GCD of 308, 742, 492, 170 Calculator

Given Input numbers are 308, 742, 492, 170

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

GCD of numbers is the greatest common divisor

So, the GCD (308, 742, 492, 170) = 2.

Given numbers are 308, 742, 492, 170

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 742 are 2 x 7 x 53

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 308, 742, 492, 170 is 2.

Given numbers are 308, 742, 492, 170

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

Apply this formula for all numbers.

Step1:

LCM(308, 742) = 16324

GCD(308, 742) = ( 308 x 742 ) / 16324

= 308 / 742

= 308

Step2:

LCM(14, 492) = 3444

GCD(14, 492) = ( 14 x 492 ) / 3444

= 14 / 492

= 14

Step3:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

So, Greatest Common Divisor of 308, 742, 492, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 238, 618, 298
• GCD of 267, 400, 597, 776
• GCD of 528, 201, 162, 533
• GCD of 459, 249, 338, 384
• GCD of 960, 759, 827, 774

Given numbers are 308, 742, 492, 170
The greatest common divisor of numbers 308, 742, 492, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 742, 492, 170 is 2.

1. What is the GCD of 308, 742, 492, 170?

GCD of given numbers 308, 742, 492, 170 is 2

2. How to calculate the greatest common divisor of 308, 742, 492, 170?

We can find the highest common divisor of 308, 742, 492, 170 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 308, 742, 492, 170 i.e 2.

3. How can I use the GCD of 308, 742, 492, 170Calculator?

Out the numbers 308, 742, 492, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.