GCD of 120, 278, 170 Calculator

Given Input numbers are 120, 278, 170

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

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 (120, 278, 170) = 2.

Given numbers are 120, 278, 170

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 278 are 2 x 139

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 120, 278, 170 is 2.

Given numbers are 120, 278, 170

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

Apply this formula for all numbers.

Step1:

LCM(120, 278) = 16680

GCD(120, 278) = ( 120 x 278 ) / 16680

= 120 / 278

= 120

Step2:

LCM(2, 170) = 170

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

= 2 / 170

= 2

So, Greatest Common Divisor of 120, 278, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 124, 606
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• GCD of 717, 364, 370
• GCD of 405, 878, 349
• GCD of 339, 278, 935

Given numbers are 120, 278, 170
The greatest common divisor of numbers 120, 278, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 278, 170 is 2.

1. What is the GCD of 120, 278, 170?

GCD of given numbers 120, 278, 170 is 2

2. How to calculate the greatest common divisor of 120, 278, 170?

We can find the highest common divisor of 120, 278, 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 120, 278, 170 i.e 2.

3. How can I use the GCD of 120, 278, 170Calculator?

Out the numbers 120, 278, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.