GCD of 138, 554, 322, 696 Calculator

Given Input numbers are 138, 554, 322, 696

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 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (138, 554, 322, 696) = 2.

Given numbers are 138, 554, 322, 696

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 554 are 2 x 277

Prime factors of 322 are 2 x 7 x 23

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 138, 554, 322, 696 is 2.

Given numbers are 138, 554, 322, 696

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

Apply this formula for all numbers.

Step1:

LCM(138, 554) = 38226

GCD(138, 554) = ( 138 x 554 ) / 38226

= 138 / 554

= 138

Step2:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

Step3:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

So, Greatest Common Divisor of 138, 554, 322, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 319, 226, 854
• GCD of 775, 926, 126, 863
• GCD of 422, 100, 488, 748
• GCD of 385, 424, 777, 193
• GCD of 887, 403, 430, 992

Given numbers are 138, 554, 322, 696
The greatest common divisor of numbers 138, 554, 322, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 554, 322, 696 is 2.

1. What is the GCD of 138, 554, 322, 696?

GCD of given numbers 138, 554, 322, 696 is 2

2. How to calculate the greatest common divisor of 138, 554, 322, 696?

We can find the highest common divisor of 138, 554, 322, 696 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, 554, 322, 696 i.e 2.

3. How can I use the GCD of 138, 554, 322, 696Calculator?

Out the numbers 138, 554, 322, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.