GCD of 170, 350, 508, 794 Calculator

Given Input numbers are 170, 350, 508, 794

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

GCD of numbers is the greatest common divisor

So, the GCD (170, 350, 508, 794) = 2.

Given numbers are 170, 350, 508, 794

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 508 are 2 x 2 x 127

Prime factors of 794 are 2 x 397

The highest common occurrence is 2¹

Therefore, GCD of 170, 350, 508, 794 is 2.

Given numbers are 170, 350, 508, 794

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

Apply this formula for all numbers.

Step1:

LCM(170, 350) = 5950

GCD(170, 350) = ( 170 x 350 ) / 5950

= 170 / 350

= 170

Step2:

LCM(10, 508) = 2540

GCD(10, 508) = ( 10 x 508 ) / 2540

= 10 / 508

= 10

Step3:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2

So, Greatest Common Divisor of 170, 350, 508, 794 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 165, 296, 549
• GCD of 920, 207, 212, 386
• GCD of 384, 242, 607, 315
• GCD of 201, 579, 796, 987
• GCD of 399, 980, 423, 943

Given numbers are 170, 350, 508, 794
The greatest common divisor of numbers 170, 350, 508, 794 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 350, 508, 794 is 2.

1. What is the GCD of 170, 350, 508, 794?

GCD of given numbers 170, 350, 508, 794 is 2

2. How to calculate the greatest common divisor of 170, 350, 508, 794?

We can find the highest common divisor of 170, 350, 508, 794 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, 350, 508, 794 i.e 2.

3. How can I use the GCD of 170, 350, 508, 794Calculator?

Out the numbers 170, 350, 508, 794 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.