GCD of 290, 302, 138, 440 Calculator

Given Input numbers are 290, 302, 138, 440

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 138 :

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

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (290, 302, 138, 440) = 2.

Given numbers are 290, 302, 138, 440

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 302 are 2 x 151

Prime factors of 138 are 2 x 3 x 23

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 290, 302, 138, 440 is 2.

Given numbers are 290, 302, 138, 440

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

Apply this formula for all numbers.

Step1:

LCM(290, 302) = 43790

GCD(290, 302) = ( 290 x 302 ) / 43790

= 290 / 302

= 290

Step2:

LCM(2, 138) = 138

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

= 2 / 138

= 2

Step3:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

So, Greatest Common Divisor of 290, 302, 138, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 934, 113, 212
• GCD of 493, 750, 941, 139
• GCD of 948, 438, 746, 779
• GCD of 528, 308, 951, 846
• GCD of 839, 284, 155, 630

Given numbers are 290, 302, 138, 440
The greatest common divisor of numbers 290, 302, 138, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 302, 138, 440 is 2.

1. What is the GCD of 290, 302, 138, 440?

GCD of given numbers 290, 302, 138, 440 is 2

2. How to calculate the greatest common divisor of 290, 302, 138, 440?

We can find the highest common divisor of 290, 302, 138, 440 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 290, 302, 138, 440 i.e 2.

3. How can I use the GCD of 290, 302, 138, 440Calculator?

Out the numbers 290, 302, 138, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.