GCD of 938, 290, 828, 342 Calculator

Given Input numbers are 938, 290, 828, 342

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 290 :

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

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (938, 290, 828, 342) = 2.

Given numbers are 938, 290, 828, 342

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 290 are 2 x 5 x 29

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 938, 290, 828, 342 is 2.

Given numbers are 938, 290, 828, 342

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

Apply this formula for all numbers.

Step1:

LCM(938, 290) = 136010

GCD(938, 290) = ( 938 x 290 ) / 136010

= 938 / 290

= 938

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 938, 290, 828, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 691, 529, 310
• GCD of 700, 165, 815, 131
• GCD of 622, 207, 165, 101
• GCD of 234, 736, 929, 851
• GCD of 412, 100, 411, 417

Given numbers are 938, 290, 828, 342
The greatest common divisor of numbers 938, 290, 828, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 290, 828, 342 is 2.

1. What is the GCD of 938, 290, 828, 342?

GCD of given numbers 938, 290, 828, 342 is 2

2. How to calculate the greatest common divisor of 938, 290, 828, 342?

We can find the highest common divisor of 938, 290, 828, 342 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 938, 290, 828, 342 i.e 2.

3. How can I use the GCD of 938, 290, 828, 342Calculator?

Out the numbers 938, 290, 828, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.