GCD of 850, 119, 221, 884 Calculator

Given Input numbers are 850, 119, 221, 884

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 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

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

GCD of numbers is the greatest common divisor

So, the GCD (850, 119, 221, 884) = 17.

Given numbers are 850, 119, 221, 884

The list of prime factors of all numbers are

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

Prime factors of 119 are 7 x 17

Prime factors of 221 are 13 x 17

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

The highest common occurrence is 17¹

Therefore, GCD of 850, 119, 221, 884 is 17.

Given numbers are 850, 119, 221, 884

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

Apply this formula for all numbers.

Step1:

LCM(850, 119) = 5950

GCD(850, 119) = ( 850 x 119 ) / 5950

= 850 / 119

= 850

Step2:

LCM(17, 221) = 221

GCD(17, 221) = ( 17 x 221 ) / 221

= 17 / 221

= 17

Step3:

LCM(17, 884) = 884

GCD(17, 884) = ( 17 x 884 ) / 884

= 17 / 884

= 17

So, Greatest Common Divisor of 850, 119, 221, 884 is 17

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 405, 631, 432
• GCD of 325, 255, 197, 140
• GCD of 117, 153, 173, 700
• GCD of 776, 606, 331, 597
• GCD of 781, 636, 546, 692

Given numbers are 850, 119, 221, 884
The greatest common divisor of numbers 850, 119, 221, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 119, 221, 884 is 17.

1. What is the GCD of 850, 119, 221, 884?

GCD of given numbers 850, 119, 221, 884 is 17

2. How to calculate the greatest common divisor of 850, 119, 221, 884?

We can find the highest common divisor of 850, 119, 221, 884 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, 119, 221, 884 i.e 17.

3. How can I use the GCD of 850, 119, 221, 884Calculator?

Out the numbers 850, 119, 221, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.