GCD of 664, 678, 174, 766 Calculator

Given Input numbers are 664, 678, 174, 766

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

Divisors of 664 :

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

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (664, 678, 174, 766) = 2.

Given numbers are 664, 678, 174, 766

The list of prime factors of all numbers are

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

Prime factors of 678 are 2 x 3 x 113

Prime factors of 174 are 2 x 3 x 29

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 664, 678, 174, 766 is 2.

Given numbers are 664, 678, 174, 766

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

Apply this formula for all numbers.

Step1:

LCM(664, 678) = 225096

GCD(664, 678) = ( 664 x 678 ) / 225096

= 664 / 678

= 664

Step2:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

Step3:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2

So, Greatest Common Divisor of 664, 678, 174, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 697, 598, 335
• GCD of 226, 627, 854, 921
• GCD of 506, 885, 276, 871
• GCD of 534, 629, 880, 958
• GCD of 596, 479, 867, 729

Given numbers are 664, 678, 174, 766
The greatest common divisor of numbers 664, 678, 174, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 678, 174, 766 is 2.

1. What is the GCD of 664, 678, 174, 766?

GCD of given numbers 664, 678, 174, 766 is 2

2. How to calculate the greatest common divisor of 664, 678, 174, 766?

We can find the highest common divisor of 664, 678, 174, 766 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 664, 678, 174, 766 i.e 2.

3. How can I use the GCD of 664, 678, 174, 766Calculator?

Out the numbers 664, 678, 174, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.