GCD of 495, 400, 126, 828 Calculator

Given Input numbers are 495, 400, 126, 828

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 (495, 400, 126, 828) = 1.

Given numbers are 495, 400, 126, 828

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 126 are 2 x 3 x 3 x 7

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 495, 400, 126, 828

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

Apply this formula for all numbers.

Step1:

LCM(495, 400) = 39600

GCD(495, 400) = ( 495 x 400 ) / 39600

= 495 / 400

= 495

Step2:

LCM(5, 126) = 630

GCD(5, 126) = ( 5 x 126 ) / 630

= 5 / 126

= 5

Step3:

LCM(1, 828) = 828

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

= 1 / 828

= 1

So, Greatest Common Divisor of 495, 400, 126, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 285, 608, 882
• GCD of 464, 144, 994, 532
• GCD of 821, 681, 240, 708
• GCD of 676, 257, 742, 570
• GCD of 748, 899, 536, 980

Given numbers are 495, 400, 126, 828
The greatest common divisor of numbers 495, 400, 126, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 400, 126, 828 is 1.

1. What is the GCD of 495, 400, 126, 828?

GCD of given numbers 495, 400, 126, 828 is 1

2. How to calculate the greatest common divisor of 495, 400, 126, 828?

We can find the highest common divisor of 495, 400, 126, 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 495, 400, 126, 828 i.e 1.

3. How can I use the GCD of 495, 400, 126, 828Calculator?

Out the numbers 495, 400, 126, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.