GCD of 786, 138, 180, 668 Calculator

Given Input numbers are 786, 138, 180, 668

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

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

GCD of numbers is the greatest common divisor

So, the GCD (786, 138, 180, 668) = 2.

Given numbers are 786, 138, 180, 668

The list of prime factors of all numbers are

Prime factors of 786 are 2 x 3 x 131

Prime factors of 138 are 2 x 3 x 23

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 668 are 2 x 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 786, 138, 180, 668 is 2.

Given numbers are 786, 138, 180, 668

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

Apply this formula for all numbers.

Step1:

LCM(786, 138) = 18078

GCD(786, 138) = ( 786 x 138 ) / 18078

= 786 / 138

= 786

Step2:

LCM(6, 180) = 180

GCD(6, 180) = ( 6 x 180 ) / 180

= 6 / 180

= 6

Step3:

LCM(6, 668) = 2004

GCD(6, 668) = ( 6 x 668 ) / 2004

= 6 / 668

= 6

So, Greatest Common Divisor of 786, 138, 180, 668 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 578, 702, 880
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Given numbers are 786, 138, 180, 668
The greatest common divisor of numbers 786, 138, 180, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 786, 138, 180, 668 is 2.

1. What is the GCD of 786, 138, 180, 668?

GCD of given numbers 786, 138, 180, 668 is 2

2. How to calculate the greatest common divisor of 786, 138, 180, 668?

We can find the highest common divisor of 786, 138, 180, 668 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 786, 138, 180, 668 i.e 2.

3. How can I use the GCD of 786, 138, 180, 668Calculator?

Out the numbers 786, 138, 180, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.