GCD of 420, 882, 14, 550 Calculator

Given Input numbers are 420, 882, 14, 550

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (420, 882, 14, 550) = 2.

Given numbers are 420, 882, 14, 550

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 14 are 2 x 7

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 420, 882, 14, 550 is 2.

Given numbers are 420, 882, 14, 550

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

Apply this formula for all numbers.

Step1:

LCM(420, 882) = 8820

GCD(420, 882) = ( 420 x 882 ) / 8820

= 420 / 882

= 420

Step2:

LCM(42, 14) = 42

GCD(42, 14) = ( 42 x 14 ) / 42

= 42 / 14

= 42

Step3:

LCM(14, 550) = 3850

GCD(14, 550) = ( 14 x 550 ) / 3850

= 14 / 550

= 14

So, Greatest Common Divisor of 420, 882, 14, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 852, 17, 323
• GCD of 245, 542, 13, 432
• GCD of 470, 543, 74, 629
• GCD of 925, 899, 93, 198
• GCD of 916, 924, 64, 949

Given numbers are 420, 882, 14, 550
The greatest common divisor of numbers 420, 882, 14, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 882, 14, 550 is 2.

1. What is the GCD of 420, 882, 14, 550?

GCD of given numbers 420, 882, 14, 550 is 2

2. How to calculate the greatest common divisor of 420, 882, 14, 550?

We can find the highest common divisor of 420, 882, 14, 550 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 420, 882, 14, 550 i.e 2.

3. How can I use the GCD of 420, 882, 14, 550Calculator?

Out the numbers 420, 882, 14, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.