GCD of 822, 680, 171, 220 Calculator

Given Input numbers are 822, 680, 171, 220

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

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 (822, 680, 171, 220) = 1.

Given numbers are 822, 680, 171, 220

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 171 are 3 x 3 x 19

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

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

Given numbers are 822, 680, 171, 220

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

Apply this formula for all numbers.

Step1:

LCM(822, 680) = 279480

GCD(822, 680) = ( 822 x 680 ) / 279480

= 822 / 680

= 822

Step2:

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

= 2 / 171

= 2

Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1

So, Greatest Common Divisor of 822, 680, 171, 220 is 1

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Given numbers are 822, 680, 171, 220
The greatest common divisor of numbers 822, 680, 171, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 680, 171, 220 is 1.

1. What is the GCD of 822, 680, 171, 220?

GCD of given numbers 822, 680, 171, 220 is 1

2. How to calculate the greatest common divisor of 822, 680, 171, 220?

We can find the highest common divisor of 822, 680, 171, 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 822, 680, 171, 220 i.e 1.

3. How can I use the GCD of 822, 680, 171, 220Calculator?

Out the numbers 822, 680, 171, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.