GCD of 497, 142, 675, 828 Calculator

Given Input numbers are 497, 142, 675, 828

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (497, 142, 675, 828) = 1.

Given numbers are 497, 142, 675, 828

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 142 are 2 x 71

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 497, 142, 675, 828

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

Apply this formula for all numbers.

Step1:

LCM(497, 142) = 994

GCD(497, 142) = ( 497 x 142 ) / 994

= 497 / 142

= 497

Step2:

LCM(71, 675) = 47925

GCD(71, 675) = ( 71 x 675 ) / 47925

= 71 / 675

= 71

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 497, 142, 675, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 829, 760, 332
• GCD of 283, 458, 330, 867
• GCD of 141, 288, 404, 714
• GCD of 805, 718, 256, 415
• GCD of 107, 164, 493, 849

Given numbers are 497, 142, 675, 828
The greatest common divisor of numbers 497, 142, 675, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 142, 675, 828 is 1.

1. What is the GCD of 497, 142, 675, 828?

GCD of given numbers 497, 142, 675, 828 is 1

2. How to calculate the greatest common divisor of 497, 142, 675, 828?

We can find the highest common divisor of 497, 142, 675, 828 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, 142, 675, 828 i.e 1.

3. How can I use the GCD of 497, 142, 675, 828Calculator?

Out the numbers 497, 142, 675, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.