GCD of 278, 978, 162 Calculator

Given Input numbers are 278, 978, 162

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

Divisors of 278 :

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

1, 2, 139, 278

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (278, 978, 162) = 2.

Given numbers are 278, 978, 162

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

Prime factors of 978 are 2 x 3 x 163

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 278, 978, 162 is 2.

Given numbers are 278, 978, 162

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

Apply this formula for all numbers.

Step1:

LCM(278, 978) = 135942

GCD(278, 978) = ( 278 x 978 ) / 135942

= 278 / 978

= 278

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 278, 978, 162 is 2

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Given numbers are 278, 978, 162
The greatest common divisor of numbers 278, 978, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 978, 162 is 2.

1. What is the GCD of 278, 978, 162?

GCD of given numbers 278, 978, 162 is 2

2. How to calculate the greatest common divisor of 278, 978, 162?

We can find the highest common divisor of 278, 978, 162 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 278, 978, 162 i.e 2.

3. How can I use the GCD of 278, 978, 162Calculator?

Out the numbers 278, 978, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.