GCD of 104, 458, 664, 138 Calculator

Given Input numbers are 104, 458, 664, 138

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 664 :

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

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

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 (104, 458, 664, 138) = 2.

Given numbers are 104, 458, 664, 138

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 458 are 2 x 229

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

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 104, 458, 664, 138 is 2.

Given numbers are 104, 458, 664, 138

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

Apply this formula for all numbers.

Step1:

LCM(104, 458) = 23816

GCD(104, 458) = ( 104 x 458 ) / 23816

= 104 / 458

= 104

Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

Step3:

LCM(2, 138) = 138

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

= 2 / 138

= 2

So, Greatest Common Divisor of 104, 458, 664, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 991, 165, 915
• GCD of 638, 804, 534, 370
• GCD of 719, 812, 217, 641
• GCD of 648, 239, 151, 164
• GCD of 524, 471, 665, 134

Given numbers are 104, 458, 664, 138
The greatest common divisor of numbers 104, 458, 664, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 458, 664, 138 is 2.

1. What is the GCD of 104, 458, 664, 138?

GCD of given numbers 104, 458, 664, 138 is 2

2. How to calculate the greatest common divisor of 104, 458, 664, 138?

We can find the highest common divisor of 104, 458, 664, 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 104, 458, 664, 138 i.e 2.

3. How can I use the GCD of 104, 458, 664, 138Calculator?

Out the numbers 104, 458, 664, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.