GCD of 176, 730, 136, 828 Calculator

Given Input numbers are 176, 730, 136, 828

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

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (176, 730, 136, 828) = 2.

Given numbers are 176, 730, 136, 828

The list of prime factors of all numbers are

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 730 are 2 x 5 x 73

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 176, 730, 136, 828 is 2.

Given numbers are 176, 730, 136, 828

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

Apply this formula for all numbers.

Step1:

LCM(176, 730) = 64240

GCD(176, 730) = ( 176 x 730 ) / 64240

= 176 / 730

= 176

Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 176, 730, 136, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 185, 741, 956
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Given numbers are 176, 730, 136, 828
The greatest common divisor of numbers 176, 730, 136, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 730, 136, 828 is 2.

1. What is the GCD of 176, 730, 136, 828?

GCD of given numbers 176, 730, 136, 828 is 2

2. How to calculate the greatest common divisor of 176, 730, 136, 828?

We can find the highest common divisor of 176, 730, 136, 828 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 176, 730, 136, 828 i.e 2.

3. How can I use the GCD of 176, 730, 136, 828Calculator?

Out the numbers 176, 730, 136, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.