GCD of 270, 470, 84, 554 Calculator

Given Input numbers are 270, 470, 84, 554

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

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

GCD of numbers is the greatest common divisor

So, the GCD (270, 470, 84, 554) = 2.

Given numbers are 270, 470, 84, 554

The list of prime factors of all numbers are

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 554 are 2 x 277

The highest common occurrence is 2¹

Therefore, GCD of 270, 470, 84, 554 is 2.

Given numbers are 270, 470, 84, 554

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

Apply this formula for all numbers.

Step1:

LCM(270, 470) = 12690

GCD(270, 470) = ( 270 x 470 ) / 12690

= 270 / 470

= 270

Step2:

LCM(10, 84) = 420

GCD(10, 84) = ( 10 x 84 ) / 420

= 10 / 84

= 10

Step3:

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

= 2 / 554

= 2

So, Greatest Common Divisor of 270, 470, 84, 554 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 539, 32, 711
• GCD of 587, 274, 21, 744
• GCD of 632, 838, 27, 418
• GCD of 872, 946, 29, 561
• GCD of 994, 172, 97, 660

Given numbers are 270, 470, 84, 554
The greatest common divisor of numbers 270, 470, 84, 554 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 470, 84, 554 is 2.

1. What is the GCD of 270, 470, 84, 554?

GCD of given numbers 270, 470, 84, 554 is 2

2. How to calculate the greatest common divisor of 270, 470, 84, 554?

We can find the highest common divisor of 270, 470, 84, 554 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 270, 470, 84, 554 i.e 2.

3. How can I use the GCD of 270, 470, 84, 554Calculator?

Out the numbers 270, 470, 84, 554 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.