GCD of 538, 970, 240, 170 Calculator

Given Input numbers are 538, 970, 240, 170

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 (538, 970, 240, 170) = 2.

Given numbers are 538, 970, 240, 170

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 970 are 2 x 5 x 97

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 538, 970, 240, 170 is 2.

Given numbers are 538, 970, 240, 170

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

Apply this formula for all numbers.

Step1:

LCM(538, 970) = 260930

GCD(538, 970) = ( 538 x 970 ) / 260930

= 538 / 970

= 538

Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

Step3:

LCM(2, 170) = 170

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

= 2 / 170

= 2

So, Greatest Common Divisor of 538, 970, 240, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 322, 289, 915
• GCD of 433, 323, 897, 892
• GCD of 173, 162, 497, 606
• GCD of 777, 759, 225, 221
• GCD of 835, 164, 196, 533

Given numbers are 538, 970, 240, 170
The greatest common divisor of numbers 538, 970, 240, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 970, 240, 170 is 2.

1. What is the GCD of 538, 970, 240, 170?

GCD of given numbers 538, 970, 240, 170 is 2

2. How to calculate the greatest common divisor of 538, 970, 240, 170?

We can find the highest common divisor of 538, 970, 240, 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 538, 970, 240, 170 i.e 2.

3. How can I use the GCD of 538, 970, 240, 170Calculator?

Out the numbers 538, 970, 240, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.