GCD of 162, 672, 10, 138 Calculator

Given Input numbers are 162, 672, 10, 138

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

Divisors of 162 :

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

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (162, 672, 10, 138) = 2.

Given numbers are 162, 672, 10, 138

The list of prime factors of all numbers are

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

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 10 are 2 x 5

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 162, 672, 10, 138 is 2.

Given numbers are 162, 672, 10, 138

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

Apply this formula for all numbers.

Step1:

LCM(162, 672) = 18144

GCD(162, 672) = ( 162 x 672 ) / 18144

= 162 / 672

= 162

Step2:

LCM(6, 10) = 30

GCD(6, 10) = ( 6 x 10 ) / 30

= 6 / 10

= 6

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 162, 672, 10, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 510, 13, 654
• GCD of 961, 233, 45, 767
• GCD of 793, 403, 34, 162
• GCD of 974, 446, 43, 572
• GCD of 261, 726, 45, 708

Given numbers are 162, 672, 10, 138
The greatest common divisor of numbers 162, 672, 10, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 672, 10, 138 is 2.

1. What is the GCD of 162, 672, 10, 138?

GCD of given numbers 162, 672, 10, 138 is 2

2. How to calculate the greatest common divisor of 162, 672, 10, 138?

We can find the highest common divisor of 162, 672, 10, 138 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 162, 672, 10, 138 i.e 2.

3. How can I use the GCD of 162, 672, 10, 138Calculator?

Out the numbers 162, 672, 10, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.