GCD of 850, 405, 490, 220 Calculator

Given Input numbers are 850, 405, 490, 220

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 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

GCD of numbers is the greatest common divisor

So, the GCD (850, 405, 490, 220) = 5.

Given numbers are 850, 405, 490, 220

The list of prime factors of all numbers are

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

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 490 are 2 x 5 x 7 x 7

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

The highest common occurrence is 5¹

Therefore, GCD of 850, 405, 490, 220 is 5.

Given numbers are 850, 405, 490, 220

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

Apply this formula for all numbers.

Step1:

LCM(850, 405) = 68850

GCD(850, 405) = ( 850 x 405 ) / 68850

= 850 / 405

= 850

Step2:

LCM(5, 490) = 490

GCD(5, 490) = ( 5 x 490 ) / 490

= 5 / 490

= 5

Step3:

LCM(5, 220) = 220

GCD(5, 220) = ( 5 x 220 ) / 220

= 5 / 220

= 5

So, Greatest Common Divisor of 850, 405, 490, 220 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 762, 420, 936
• GCD of 985, 596, 826, 473
• GCD of 604, 873, 116, 986
• GCD of 313, 114, 188, 277
• GCD of 113, 279, 892, 232

Given numbers are 850, 405, 490, 220
The greatest common divisor of numbers 850, 405, 490, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 405, 490, 220 is 5.

1. What is the GCD of 850, 405, 490, 220?

GCD of given numbers 850, 405, 490, 220 is 5

2. How to calculate the greatest common divisor of 850, 405, 490, 220?

We can find the highest common divisor of 850, 405, 490, 220 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, 405, 490, 220 i.e 5.

3. How can I use the GCD of 850, 405, 490, 220Calculator?

Out the numbers 850, 405, 490, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.