GCD of 345, 461, 220, 989 Calculator

Given Input numbers are 345, 461, 220, 989

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 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

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 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (345, 461, 220, 989) = 1.

Given numbers are 345, 461, 220, 989

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 461 are 461

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

Prime factors of 989 are 23 x 43

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

Given numbers are 345, 461, 220, 989

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

Apply this formula for all numbers.

Step1:

LCM(345, 461) = 159045

GCD(345, 461) = ( 345 x 461 ) / 159045

= 345 / 461

= 345

Step2:

LCM(1, 220) = 220

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

= 1 / 220

= 1

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 345, 461, 220, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 463, 284, 522
• GCD of 565, 811, 110, 729
• GCD of 486, 489, 136, 817
• GCD of 544, 365, 546, 321
• GCD of 495, 230, 773, 549

Given numbers are 345, 461, 220, 989
The greatest common divisor of numbers 345, 461, 220, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 461, 220, 989 is 1.

1. What is the GCD of 345, 461, 220, 989?

GCD of given numbers 345, 461, 220, 989 is 1

2. How to calculate the greatest common divisor of 345, 461, 220, 989?

We can find the highest common divisor of 345, 461, 220, 989 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, 461, 220, 989 i.e 1.

3. How can I use the GCD of 345, 461, 220, 989Calculator?

Out the numbers 345, 461, 220, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.