GCD of 110, 250, 270, 462 Calculator

Given Input numbers are 110, 250, 270, 462

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 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (110, 250, 270, 462) = 2.

Given numbers are 110, 250, 270, 462

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

Prime factors of 250 are 2 x 5 x 5 x 5

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

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 110, 250, 270, 462 is 2.

Given numbers are 110, 250, 270, 462

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

Apply this formula for all numbers.

Step1:

LCM(110, 250) = 2750

GCD(110, 250) = ( 110 x 250 ) / 2750

= 110 / 250

= 110

Step2:

LCM(10, 270) = 270

GCD(10, 270) = ( 10 x 270 ) / 270

= 10 / 270

= 10

Step3:

LCM(10, 462) = 2310

GCD(10, 462) = ( 10 x 462 ) / 2310

= 10 / 462

= 10

So, Greatest Common Divisor of 110, 250, 270, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 619, 614, 197
• GCD of 146, 847, 671, 368
• GCD of 600, 238, 924, 632
• GCD of 209, 736, 214, 263
• GCD of 192, 758, 454, 549

Given numbers are 110, 250, 270, 462
The greatest common divisor of numbers 110, 250, 270, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 250, 270, 462 is 2.

1. What is the GCD of 110, 250, 270, 462?

GCD of given numbers 110, 250, 270, 462 is 2

2. How to calculate the greatest common divisor of 110, 250, 270, 462?

We can find the highest common divisor of 110, 250, 270, 462 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, 250, 270, 462 i.e 2.

3. How can I use the GCD of 110, 250, 270, 462Calculator?

Out the numbers 110, 250, 270, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.