GCD of 406, 254, 738, 138 Calculator

Given Input numbers are 406, 254, 738, 138

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

Divisors of 406 :

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

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

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 (406, 254, 738, 138) = 2.

Given numbers are 406, 254, 738, 138

The list of prime factors of all numbers are

Prime factors of 406 are 2 x 7 x 29

Prime factors of 254 are 2 x 127

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 406, 254, 738, 138 is 2.

Given numbers are 406, 254, 738, 138

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

Apply this formula for all numbers.

Step1:

LCM(406, 254) = 51562

GCD(406, 254) = ( 406 x 254 ) / 51562

= 406 / 254

= 406

Step2:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 406, 254, 738, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 321, 687, 735
• GCD of 467, 834, 685, 531
• GCD of 273, 666, 340, 443
• GCD of 474, 289, 806, 351
• GCD of 730, 159, 957, 987

Given numbers are 406, 254, 738, 138
The greatest common divisor of numbers 406, 254, 738, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 406, 254, 738, 138 is 2.

1. What is the GCD of 406, 254, 738, 138?

GCD of given numbers 406, 254, 738, 138 is 2

2. How to calculate the greatest common divisor of 406, 254, 738, 138?

We can find the highest common divisor of 406, 254, 738, 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 406, 254, 738, 138 i.e 2.

3. How can I use the GCD of 406, 254, 738, 138Calculator?

Out the numbers 406, 254, 738, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.