GCD of 816, 458, 670, 138 Calculator

Given Input numbers are 816, 458, 670, 138

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

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 (816, 458, 670, 138) = 2.

Given numbers are 816, 458, 670, 138

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 458 are 2 x 229

Prime factors of 670 are 2 x 5 x 67

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 816, 458, 670, 138 is 2.

Given numbers are 816, 458, 670, 138

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

Apply this formula for all numbers.

Step1:

LCM(816, 458) = 186864

GCD(816, 458) = ( 816 x 458 ) / 186864

= 816 / 458

= 816

Step2:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2

Step3:

LCM(2, 138) = 138

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

= 2 / 138

= 2

So, Greatest Common Divisor of 816, 458, 670, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 732, 503, 758
• GCD of 222, 386, 738, 726
• GCD of 834, 908, 453, 599
• GCD of 459, 115, 277, 416
• GCD of 217, 158, 178, 164

Given numbers are 816, 458, 670, 138
The greatest common divisor of numbers 816, 458, 670, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 458, 670, 138 is 2.

1. What is the GCD of 816, 458, 670, 138?

GCD of given numbers 816, 458, 670, 138 is 2

2. How to calculate the greatest common divisor of 816, 458, 670, 138?

We can find the highest common divisor of 816, 458, 670, 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 816, 458, 670, 138 i.e 2.

3. How can I use the GCD of 816, 458, 670, 138Calculator?

Out the numbers 816, 458, 670, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.