GCD of 110, 270, 550, 465 Calculator

Given Input numbers are 110, 270, 550, 465

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (110, 270, 550, 465) = 5.

Given numbers are 110, 270, 550, 465

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Prime factors of 465 are 3 x 5 x 31

The highest common occurrence is 5¹

Therefore, GCD of 110, 270, 550, 465 is 5.

Given numbers are 110, 270, 550, 465

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

Apply this formula for all numbers.

Step1:

LCM(110, 270) = 2970

GCD(110, 270) = ( 110 x 270 ) / 2970

= 110 / 270

= 110

Step2:

LCM(10, 550) = 550

GCD(10, 550) = ( 10 x 550 ) / 550

= 10 / 550

= 10

Step3:

LCM(10, 465) = 930

GCD(10, 465) = ( 10 x 465 ) / 930

= 10 / 465

= 10

So, Greatest Common Divisor of 110, 270, 550, 465 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 149, 449, 140
• GCD of 527, 428, 739, 206
• GCD of 942, 802, 902, 851
• GCD of 165, 272, 215, 853
• GCD of 567, 204, 701, 258

Given numbers are 110, 270, 550, 465
The greatest common divisor of numbers 110, 270, 550, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 270, 550, 465 is 5.

1. What is the GCD of 110, 270, 550, 465?

GCD of given numbers 110, 270, 550, 465 is 5

2. How to calculate the greatest common divisor of 110, 270, 550, 465?

We can find the highest common divisor of 110, 270, 550, 465 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 110, 270, 550, 465 i.e 5.

3. How can I use the GCD of 110, 270, 550, 465Calculator?

Out the numbers 110, 270, 550, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.