GCD of 850, 900, 220, 394 Calculator

Given Input numbers are 850, 900, 220, 394

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

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

GCD of numbers is the greatest common divisor

So, the GCD (850, 900, 220, 394) = 2.

Given numbers are 850, 900, 220, 394

The list of prime factors of all numbers are

Prime factors of 850 are 2 x 5 x 5 x 17

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

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 394 are 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 850, 900, 220, 394 is 2.

Given numbers are 850, 900, 220, 394

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

Apply this formula for all numbers.

Step1:

LCM(850, 900) = 15300

GCD(850, 900) = ( 850 x 900 ) / 15300

= 850 / 900

= 850

Step2:

LCM(50, 220) = 1100

GCD(50, 220) = ( 50 x 220 ) / 1100

= 50 / 220

= 50

Step3:

LCM(10, 394) = 1970

GCD(10, 394) = ( 10 x 394 ) / 1970

= 10 / 394

= 10

So, Greatest Common Divisor of 850, 900, 220, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 664, 948, 260
• GCD of 670, 125, 778, 937
• GCD of 971, 876, 171, 725
• GCD of 509, 274, 791, 963
• GCD of 550, 939, 469, 574

Given numbers are 850, 900, 220, 394
The greatest common divisor of numbers 850, 900, 220, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 900, 220, 394 is 2.

1. What is the GCD of 850, 900, 220, 394?

GCD of given numbers 850, 900, 220, 394 is 2

2. How to calculate the greatest common divisor of 850, 900, 220, 394?

We can find the highest common divisor of 850, 900, 220, 394 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 850, 900, 220, 394 i.e 2.

3. How can I use the GCD of 850, 900, 220, 394Calculator?

Out the numbers 850, 900, 220, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.