GCD of 176, 852, 368, 976 Calculator

Given Input numbers are 176, 852, 368, 976

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 976 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (176, 852, 368, 976) = 4.

Given numbers are 176, 852, 368, 976

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 852 are 2 x 2 x 3 x 71

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

The highest common occurrence is 2²

Therefore, GCD of 176, 852, 368, 976 is 4.

Given numbers are 176, 852, 368, 976

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

Apply this formula for all numbers.

Step1:

LCM(176, 852) = 37488

GCD(176, 852) = ( 176 x 852 ) / 37488

= 176 / 852

= 176

Step2:

LCM(4, 368) = 368

GCD(4, 368) = ( 4 x 368 ) / 368

= 4 / 368

= 4

Step3:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4

So, Greatest Common Divisor of 176, 852, 368, 976 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 298, 237, 741
• GCD of 676, 774, 201, 905
• GCD of 734, 797, 207, 165
• GCD of 652, 334, 789, 617
• GCD of 696, 390, 979, 496

Given numbers are 176, 852, 368, 976
The greatest common divisor of numbers 176, 852, 368, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 852, 368, 976 is 4.

1. What is the GCD of 176, 852, 368, 976?

GCD of given numbers 176, 852, 368, 976 is 4

2. How to calculate the greatest common divisor of 176, 852, 368, 976?

We can find the highest common divisor of 176, 852, 368, 976 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, 852, 368, 976 i.e 4.

3. How can I use the GCD of 176, 852, 368, 976Calculator?

Out the numbers 176, 852, 368, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.