GCD of 920, 838, 504, 346 Calculator

Given Input numbers are 920, 838, 504, 346

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

GCD of numbers is the greatest common divisor

So, the GCD (920, 838, 504, 346) = 2.

Given numbers are 920, 838, 504, 346

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 838 are 2 x 419

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 346 are 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 920, 838, 504, 346 is 2.

Given numbers are 920, 838, 504, 346

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

Apply this formula for all numbers.

Step1:

LCM(920, 838) = 385480

GCD(920, 838) = ( 920 x 838 ) / 385480

= 920 / 838

= 920

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

= 2 / 346

= 2

So, Greatest Common Divisor of 920, 838, 504, 346 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 347, 816, 410
• GCD of 367, 389, 277, 501
• GCD of 906, 883, 160, 900
• GCD of 769, 182, 724, 758
• GCD of 497, 160, 498, 375

Given numbers are 920, 838, 504, 346
The greatest common divisor of numbers 920, 838, 504, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 838, 504, 346 is 2.

1. What is the GCD of 920, 838, 504, 346?

GCD of given numbers 920, 838, 504, 346 is 2

2. How to calculate the greatest common divisor of 920, 838, 504, 346?

We can find the highest common divisor of 920, 838, 504, 346 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 920, 838, 504, 346 i.e 2.

3. How can I use the GCD of 920, 838, 504, 346Calculator?

Out the numbers 920, 838, 504, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.