GCD of 497, 270, 132, 864 Calculator

Given Input numbers are 497, 270, 132, 864

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (497, 270, 132, 864) = 1.

Given numbers are 497, 270, 132, 864

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

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

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 497, 270, 132, 864

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

Apply this formula for all numbers.

Step1:

LCM(497, 270) = 134190

GCD(497, 270) = ( 497 x 270 ) / 134190

= 497 / 270

= 497

Step2:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 497, 270, 132, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 862, 276, 909
• GCD of 429, 530, 298, 874
• GCD of 865, 162, 230, 184
• GCD of 791, 190, 840, 364
• GCD of 199, 944, 509, 651

Given numbers are 497, 270, 132, 864
The greatest common divisor of numbers 497, 270, 132, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 270, 132, 864 is 1.

1. What is the GCD of 497, 270, 132, 864?

GCD of given numbers 497, 270, 132, 864 is 1

2. How to calculate the greatest common divisor of 497, 270, 132, 864?

We can find the highest common divisor of 497, 270, 132, 864 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 497, 270, 132, 864 i.e 1.

3. How can I use the GCD of 497, 270, 132, 864Calculator?

Out the numbers 497, 270, 132, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.