GCD of 420, 814, 448, 221 Calculator

Given Input numbers are 420, 814, 448, 221

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 221 :

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

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (420, 814, 448, 221) = 1.

Given numbers are 420, 814, 448, 221

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 814 are 2 x 11 x 37

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 221 are 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 420, 814, 448, 221

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

Apply this formula for all numbers.

Step1:

LCM(420, 814) = 170940

GCD(420, 814) = ( 420 x 814 ) / 170940

= 420 / 814

= 420

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

Step3:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2

So, Greatest Common Divisor of 420, 814, 448, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 536, 482, 407
• GCD of 690, 339, 179, 895
• GCD of 108, 785, 815, 648
• GCD of 120, 945, 109, 323
• GCD of 363, 403, 646, 219

Given numbers are 420, 814, 448, 221
The greatest common divisor of numbers 420, 814, 448, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 814, 448, 221 is 1.

1. What is the GCD of 420, 814, 448, 221?

GCD of given numbers 420, 814, 448, 221 is 1

2. How to calculate the greatest common divisor of 420, 814, 448, 221?

We can find the highest common divisor of 420, 814, 448, 221 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, 814, 448, 221 i.e 1.

3. How can I use the GCD of 420, 814, 448, 221Calculator?

Out the numbers 420, 814, 448, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.