GCD of 240, 174, 146 Calculator

Given Input numbers are 240, 174, 146

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

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 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (240, 174, 146) = 2.

Given numbers are 240, 174, 146

The list of prime factors of all numbers are

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

Prime factors of 174 are 2 x 3 x 29

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 240, 174, 146 is 2.

Given numbers are 240, 174, 146

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

Apply this formula for all numbers.

Step1:

LCM(240, 174) = 6960

GCD(240, 174) = ( 240 x 174 ) / 6960

= 240 / 174

= 240

Step2:

LCM(6, 146) = 438

GCD(6, 146) = ( 6 x 146 ) / 438

= 6 / 146

= 6

So, Greatest Common Divisor of 240, 174, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 688, 234
• GCD of 791, 791, 225
• GCD of 592, 770, 873
• GCD of 495, 927, 389
• GCD of 983, 247, 861

Given numbers are 240, 174, 146
The greatest common divisor of numbers 240, 174, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 174, 146 is 2.

1. What is the GCD of 240, 174, 146?

GCD of given numbers 240, 174, 146 is 2

2. How to calculate the greatest common divisor of 240, 174, 146?

We can find the highest common divisor of 240, 174, 146 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 240, 174, 146 i.e 2.

3. How can I use the GCD of 240, 174, 146Calculator?

Out the numbers 240, 174, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.