GCD of 823, 145, 490, 600 Calculator

Given Input numbers are 823, 145, 490, 600

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

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (823, 145, 490, 600) = 1.

Given numbers are 823, 145, 490, 600

The list of prime factors of all numbers are

Prime factors of 823 are 823

Prime factors of 145 are 5 x 29

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 823, 145, 490, 600

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

Apply this formula for all numbers.

Step1:

LCM(823, 145) = 119335

GCD(823, 145) = ( 823 x 145 ) / 119335

= 823 / 145

= 823

Step2:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 823, 145, 490, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 801, 526, 158
• GCD of 217, 529, 468, 262
• GCD of 415, 161, 353, 338
• GCD of 627, 828, 436, 637
• GCD of 450, 869, 909, 176

Given numbers are 823, 145, 490, 600
The greatest common divisor of numbers 823, 145, 490, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 145, 490, 600 is 1.

1. What is the GCD of 823, 145, 490, 600?

GCD of given numbers 823, 145, 490, 600 is 1

2. How to calculate the greatest common divisor of 823, 145, 490, 600?

We can find the highest common divisor of 823, 145, 490, 600 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 823, 145, 490, 600 i.e 1.

3. How can I use the GCD of 823, 145, 490, 600Calculator?

Out the numbers 823, 145, 490, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.