GCD of 345, 220, 550, 844 Calculator

Given Input numbers are 345, 220, 550, 844

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (345, 220, 550, 844) = 1.

Given numbers are 345, 220, 550, 844

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

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

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

Prime factors of 844 are 2 x 2 x 211

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

Given numbers are 345, 220, 550, 844

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

Apply this formula for all numbers.

Step1:

LCM(345, 220) = 15180

GCD(345, 220) = ( 345 x 220 ) / 15180

= 345 / 220

= 345

Step2:

LCM(5, 550) = 550

GCD(5, 550) = ( 5 x 550 ) / 550

= 5 / 550

= 5

Step3:

LCM(5, 844) = 4220

GCD(5, 844) = ( 5 x 844 ) / 4220

= 5 / 844

= 5

So, Greatest Common Divisor of 345, 220, 550, 844 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 748, 249, 263
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Given numbers are 345, 220, 550, 844
The greatest common divisor of numbers 345, 220, 550, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 220, 550, 844 is 1.

1. What is the GCD of 345, 220, 550, 844?

GCD of given numbers 345, 220, 550, 844 is 1

2. How to calculate the greatest common divisor of 345, 220, 550, 844?

We can find the highest common divisor of 345, 220, 550, 844 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 345, 220, 550, 844 i.e 1.

3. How can I use the GCD of 345, 220, 550, 844Calculator?

Out the numbers 345, 220, 550, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.