GCD of 170, 460, 308, 476 Calculator

Given Input numbers are 170, 460, 308, 476

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

Divisors of 170 :

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

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (170, 460, 308, 476) = 2.

Given numbers are 170, 460, 308, 476

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

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

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 170, 460, 308, 476 is 2.

Given numbers are 170, 460, 308, 476

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

Apply this formula for all numbers.

Step1:

LCM(170, 460) = 7820

GCD(170, 460) = ( 170 x 460 ) / 7820

= 170 / 460

= 170

Step2:

LCM(10, 308) = 1540

GCD(10, 308) = ( 10 x 308 ) / 1540

= 10 / 308

= 10

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 170, 460, 308, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 305, 771, 256
• GCD of 295, 665, 568, 910
• GCD of 506, 974, 738, 662
• GCD of 662, 318, 172, 487
• GCD of 533, 861, 304, 419

Given numbers are 170, 460, 308, 476
The greatest common divisor of numbers 170, 460, 308, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 460, 308, 476 is 2.

1. What is the GCD of 170, 460, 308, 476?

GCD of given numbers 170, 460, 308, 476 is 2

2. How to calculate the greatest common divisor of 170, 460, 308, 476?

We can find the highest common divisor of 170, 460, 308, 476 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 170, 460, 308, 476 i.e 2.

3. How can I use the GCD of 170, 460, 308, 476Calculator?

Out the numbers 170, 460, 308, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.