GCD of 176, 792, 408, 948 Calculator

Given Input numbers are 176, 792, 408, 948

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 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (176, 792, 408, 948) = 4.

Given numbers are 176, 792, 408, 948

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 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 2²

Therefore, GCD of 176, 792, 408, 948 is 4.

Given numbers are 176, 792, 408, 948

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

Apply this formula for all numbers.

Step1:

LCM(176, 792) = 1584

GCD(176, 792) = ( 176 x 792 ) / 1584

= 176 / 792

= 176

Step2:

LCM(88, 408) = 4488

GCD(88, 408) = ( 88 x 408 ) / 4488

= 88 / 408

= 88

Step3:

LCM(8, 948) = 1896

GCD(8, 948) = ( 8 x 948 ) / 1896

= 8 / 948

= 8

So, Greatest Common Divisor of 176, 792, 408, 948 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 240, 411, 180
• GCD of 414, 235, 845, 893
• GCD of 272, 450, 871, 421
• GCD of 955, 899, 944, 373
• GCD of 814, 569, 230, 110

Given numbers are 176, 792, 408, 948
The greatest common divisor of numbers 176, 792, 408, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 792, 408, 948 is 4.

1. What is the GCD of 176, 792, 408, 948?

GCD of given numbers 176, 792, 408, 948 is 4

2. How to calculate the greatest common divisor of 176, 792, 408, 948?

We can find the highest common divisor of 176, 792, 408, 948 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, 792, 408, 948 i.e 4.

3. How can I use the GCD of 176, 792, 408, 948Calculator?

Out the numbers 176, 792, 408, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.