GCD of 178, 756, 824, 664 Calculator

Given Input numbers are 178, 756, 824, 664

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

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 824 :

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

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

GCD of numbers is the greatest common divisor

So, the GCD (178, 756, 824, 664) = 2.

Given numbers are 178, 756, 824, 664

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Prime factors of 664 are 2 x 2 x 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 178, 756, 824, 664 is 2.

Given numbers are 178, 756, 824, 664

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

Apply this formula for all numbers.

Step1:

LCM(178, 756) = 67284

GCD(178, 756) = ( 178 x 756 ) / 67284

= 178 / 756

= 178

Step2:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

Step3:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

So, Greatest Common Divisor of 178, 756, 824, 664 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 906, 233, 562
• GCD of 279, 205, 448, 247
• GCD of 764, 845, 797, 156
• GCD of 974, 848, 707, 628
• GCD of 714, 966, 189, 252

Given numbers are 178, 756, 824, 664
The greatest common divisor of numbers 178, 756, 824, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 756, 824, 664 is 2.

1. What is the GCD of 178, 756, 824, 664?

GCD of given numbers 178, 756, 824, 664 is 2

2. How to calculate the greatest common divisor of 178, 756, 824, 664?

We can find the highest common divisor of 178, 756, 824, 664 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 178, 756, 824, 664 i.e 2.

3. How can I use the GCD of 178, 756, 824, 664Calculator?

Out the numbers 178, 756, 824, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.