GCD of 824, 112, 176, 916 Calculator

Given Input numbers are 824, 112, 176, 916

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (824, 112, 176, 916) = 4.

Given numbers are 824, 112, 176, 916

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2²

Therefore, GCD of 824, 112, 176, 916 is 4.

Given numbers are 824, 112, 176, 916

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

Apply this formula for all numbers.

Step1:

LCM(824, 112) = 11536

GCD(824, 112) = ( 824 x 112 ) / 11536

= 824 / 112

= 824

Step2:

LCM(8, 176) = 176

GCD(8, 176) = ( 8 x 176 ) / 176

= 8 / 176

= 8

Step3:

LCM(8, 916) = 1832

GCD(8, 916) = ( 8 x 916 ) / 1832

= 8 / 916

= 8

So, Greatest Common Divisor of 824, 112, 176, 916 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 513, 332, 248
• GCD of 329, 681, 635, 620
• GCD of 767, 865, 224, 862
• GCD of 737, 793, 458, 516
• GCD of 890, 174, 546, 976

Given numbers are 824, 112, 176, 916
The greatest common divisor of numbers 824, 112, 176, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 112, 176, 916 is 4.

1. What is the GCD of 824, 112, 176, 916?

GCD of given numbers 824, 112, 176, 916 is 4

2. How to calculate the greatest common divisor of 824, 112, 176, 916?

We can find the highest common divisor of 824, 112, 176, 916 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 824, 112, 176, 916 i.e 4.

3. How can I use the GCD of 824, 112, 176, 916Calculator?

Out the numbers 824, 112, 176, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.