GCD of 392, 884, 838, 900 Calculator

Given Input numbers are 392, 884, 838, 900

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (392, 884, 838, 900) = 2.

Given numbers are 392, 884, 838, 900

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 838 are 2 x 419

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 392, 884, 838, 900 is 2.

Given numbers are 392, 884, 838, 900

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

Apply this formula for all numbers.

Step1:

LCM(392, 884) = 86632

GCD(392, 884) = ( 392 x 884 ) / 86632

= 392 / 884

= 392

Step2:

LCM(4, 838) = 1676

GCD(4, 838) = ( 4 x 838 ) / 1676

= 4 / 838

= 4

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 392, 884, 838, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 915, 545, 648
• GCD of 846, 599, 702, 113
• GCD of 678, 612, 163, 575
• GCD of 291, 388, 366, 853
• GCD of 666, 908, 235, 834

Given numbers are 392, 884, 838, 900
The greatest common divisor of numbers 392, 884, 838, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 884, 838, 900 is 2.

1. What is the GCD of 392, 884, 838, 900?

GCD of given numbers 392, 884, 838, 900 is 2

2. How to calculate the greatest common divisor of 392, 884, 838, 900?

We can find the highest common divisor of 392, 884, 838, 900 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 392, 884, 838, 900 i.e 2.

3. How can I use the GCD of 392, 884, 838, 900Calculator?

Out the numbers 392, 884, 838, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.