GCD of 486, 688, 544, 270 Calculator

Given Input numbers are 486, 688, 544, 270

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

GCD of numbers is the greatest common divisor

So, the GCD (486, 688, 544, 270) = 2.

Given numbers are 486, 688, 544, 270

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 486, 688, 544, 270 is 2.

Given numbers are 486, 688, 544, 270

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

Apply this formula for all numbers.

Step1:

LCM(486, 688) = 167184

GCD(486, 688) = ( 486 x 688 ) / 167184

= 486 / 688

= 486

Step2:

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

= 2 / 544

= 2

Step3:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

So, Greatest Common Divisor of 486, 688, 544, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 397, 234, 217
• GCD of 724, 851, 128, 346
• GCD of 498, 234, 263, 642
• GCD of 120, 101, 303, 351
• GCD of 356, 577, 327, 826

Given numbers are 486, 688, 544, 270
The greatest common divisor of numbers 486, 688, 544, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 688, 544, 270 is 2.

1. What is the GCD of 486, 688, 544, 270?

GCD of given numbers 486, 688, 544, 270 is 2

2. How to calculate the greatest common divisor of 486, 688, 544, 270?

We can find the highest common divisor of 486, 688, 544, 270 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 486, 688, 544, 270 i.e 2.

3. How can I use the GCD of 486, 688, 544, 270Calculator?

Out the numbers 486, 688, 544, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.