GCD of 976, 362, 176, 180 Calculator

Given Input numbers are 976, 362, 176, 180

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (976, 362, 176, 180) = 2.

Given numbers are 976, 362, 176, 180

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 362 are 2 x 181

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 976, 362, 176, 180 is 2.

Given numbers are 976, 362, 176, 180

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

Apply this formula for all numbers.

Step1:

LCM(976, 362) = 176656

GCD(976, 362) = ( 976 x 362 ) / 176656

= 976 / 362

= 976

Step2:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 976, 362, 176, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 404, 517, 219
• GCD of 784, 864, 302, 185
• GCD of 978, 609, 294, 468
• GCD of 542, 971, 724, 569
• GCD of 515, 580, 722, 256

Given numbers are 976, 362, 176, 180
The greatest common divisor of numbers 976, 362, 176, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 362, 176, 180 is 2.

1. What is the GCD of 976, 362, 176, 180?

GCD of given numbers 976, 362, 176, 180 is 2

2. How to calculate the greatest common divisor of 976, 362, 176, 180?

We can find the highest common divisor of 976, 362, 176, 180 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 976, 362, 176, 180 i.e 2.

3. How can I use the GCD of 976, 362, 176, 180Calculator?

Out the numbers 976, 362, 176, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.