GCD of 178, 864, 734, 968 Calculator

Given Input numbers are 178, 864, 734, 968

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

GCD of numbers is the greatest common divisor

So, the GCD (178, 864, 734, 968) = 2.

Given numbers are 178, 864, 734, 968

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 734 are 2 x 367

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 178, 864, 734, 968 is 2.

Given numbers are 178, 864, 734, 968

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

Apply this formula for all numbers.

Step1:

LCM(178, 864) = 76896

GCD(178, 864) = ( 178 x 864 ) / 76896

= 178 / 864

= 178

Step2:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

Step3:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

So, Greatest Common Divisor of 178, 864, 734, 968 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 342, 955, 617
• GCD of 994, 827, 569, 772
• GCD of 296, 792, 371, 794
• GCD of 281, 711, 430, 946
• GCD of 678, 639, 981, 465

Given numbers are 178, 864, 734, 968
The greatest common divisor of numbers 178, 864, 734, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 864, 734, 968 is 2.

1. What is the GCD of 178, 864, 734, 968?

GCD of given numbers 178, 864, 734, 968 is 2

2. How to calculate the greatest common divisor of 178, 864, 734, 968?

We can find the highest common divisor of 178, 864, 734, 968 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, 864, 734, 968 i.e 2.

3. How can I use the GCD of 178, 864, 734, 968Calculator?

Out the numbers 178, 864, 734, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.