GCD of 548, 890, 162 Calculator

Given Input numbers are 548, 890, 162

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

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 (548, 890, 162) = 2.

Given numbers are 548, 890, 162

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 890 are 2 x 5 x 89

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

The highest common occurrence is 2¹

Therefore, GCD of 548, 890, 162 is 2.

Given numbers are 548, 890, 162

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

Apply this formula for all numbers.

Step1:

LCM(548, 890) = 243860

GCD(548, 890) = ( 548 x 890 ) / 243860

= 548 / 890

= 548

Step2:

LCM(2, 162) = 162

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

= 2 / 162

= 2

So, Greatest Common Divisor of 548, 890, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 946, 800
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Given numbers are 548, 890, 162
The greatest common divisor of numbers 548, 890, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 890, 162 is 2.

1. What is the GCD of 548, 890, 162?

GCD of given numbers 548, 890, 162 is 2

2. How to calculate the greatest common divisor of 548, 890, 162?

We can find the highest common divisor of 548, 890, 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 548, 890, 162 i.e 2.

3. How can I use the GCD of 548, 890, 162Calculator?

Out the numbers 548, 890, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.