GCD of 268, 406, 105, 138 Calculator

Given Input numbers are 268, 406, 105, 138

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (268, 406, 105, 138) = 1.

Given numbers are 268, 406, 105, 138

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 406 are 2 x 7 x 29

Prime factors of 105 are 3 x 5 x 7

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 268, 406, 105, 138

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

Apply this formula for all numbers.

Step1:

LCM(268, 406) = 54404

GCD(268, 406) = ( 268 x 406 ) / 54404

= 268 / 406

= 268

Step2:

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

= 2 / 105

= 2

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 268, 406, 105, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 691, 474, 383
• GCD of 732, 843, 691, 269
• GCD of 816, 599, 939, 386
• GCD of 268, 402, 649, 512
• GCD of 343, 254, 141, 326

Given numbers are 268, 406, 105, 138
The greatest common divisor of numbers 268, 406, 105, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 406, 105, 138 is 1.

1. What is the GCD of 268, 406, 105, 138?

GCD of given numbers 268, 406, 105, 138 is 1

2. How to calculate the greatest common divisor of 268, 406, 105, 138?

We can find the highest common divisor of 268, 406, 105, 138 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 268, 406, 105, 138 i.e 1.

3. How can I use the GCD of 268, 406, 105, 138Calculator?

Out the numbers 268, 406, 105, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.