GCD of 821, 196, 889, 219 Calculator

Given Input numbers are 821, 196, 889, 219

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

GCD of numbers is the greatest common divisor

So, the GCD (821, 196, 889, 219) = 1.

Given numbers are 821, 196, 889, 219

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 889 are 7 x 127

Prime factors of 219 are 3 x 73

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

Given numbers are 821, 196, 889, 219

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

Apply this formula for all numbers.

Step1:

LCM(821, 196) = 160916

GCD(821, 196) = ( 821 x 196 ) / 160916

= 821 / 196

= 821

Step2:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1

Step3:

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

= 1 / 219

= 1

So, Greatest Common Divisor of 821, 196, 889, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 700, 441, 879
• GCD of 324, 202, 603, 555
• GCD of 634, 535, 768, 996
• GCD of 969, 756, 615, 236
• GCD of 381, 390, 879, 161

Given numbers are 821, 196, 889, 219
The greatest common divisor of numbers 821, 196, 889, 219 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 196, 889, 219 is 1.

1. What is the GCD of 821, 196, 889, 219?

GCD of given numbers 821, 196, 889, 219 is 1

2. How to calculate the greatest common divisor of 821, 196, 889, 219?

We can find the highest common divisor of 821, 196, 889, 219 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 821, 196, 889, 219 i.e 1.

3. How can I use the GCD of 821, 196, 889, 219Calculator?

Out the numbers 821, 196, 889, 219 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.