GCD of 838, 160, 24, 340 Calculator

Given Input numbers are 838, 160, 24, 340

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (838, 160, 24, 340) = 2.

Given numbers are 838, 160, 24, 340

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 838, 160, 24, 340 is 2.

Given numbers are 838, 160, 24, 340

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

Apply this formula for all numbers.

Step1:

LCM(838, 160) = 67040

GCD(838, 160) = ( 838 x 160 ) / 67040

= 838 / 160

= 838

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 838, 160, 24, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 491, 91, 338
• GCD of 188, 516, 52, 901
• GCD of 529, 386, 14, 831
• GCD of 835, 643, 49, 394
• GCD of 341, 508, 45, 868

Given numbers are 838, 160, 24, 340
The greatest common divisor of numbers 838, 160, 24, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 160, 24, 340 is 2.

1. What is the GCD of 838, 160, 24, 340?

GCD of given numbers 838, 160, 24, 340 is 2

2. How to calculate the greatest common divisor of 838, 160, 24, 340?

We can find the highest common divisor of 838, 160, 24, 340 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 838, 160, 24, 340 i.e 2.

3. How can I use the GCD of 838, 160, 24, 340Calculator?

Out the numbers 838, 160, 24, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.