GCD of 138, 769, 106, 644 Calculator

Given Input numbers are 138, 769, 106, 644

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

Divisors of 138 :

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

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

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (138, 769, 106, 644) = 1.

Given numbers are 138, 769, 106, 644

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 769 are 769

Prime factors of 106 are 2 x 53

Prime factors of 644 are 2 x 2 x 7 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 138, 769, 106, 644

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

Apply this formula for all numbers.

Step1:

LCM(138, 769) = 106122

GCD(138, 769) = ( 138 x 769 ) / 106122

= 138 / 769

= 138

Step2:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1

Step3:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1

So, Greatest Common Divisor of 138, 769, 106, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 814, 666, 406
• GCD of 817, 663, 356, 317
• GCD of 740, 556, 172, 790
• GCD of 644, 399, 187, 603
• GCD of 137, 640, 538, 989

Given numbers are 138, 769, 106, 644
The greatest common divisor of numbers 138, 769, 106, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 769, 106, 644 is 1.

1. What is the GCD of 138, 769, 106, 644?

GCD of given numbers 138, 769, 106, 644 is 1

2. How to calculate the greatest common divisor of 138, 769, 106, 644?

We can find the highest common divisor of 138, 769, 106, 644 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 138, 769, 106, 644 i.e 1.

3. How can I use the GCD of 138, 769, 106, 644Calculator?

Out the numbers 138, 769, 106, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.