GCD of 450, 570, 988, 842 Calculator

Given Input numbers are 450, 570, 988, 842

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (450, 570, 988, 842) = 2.

Given numbers are 450, 570, 988, 842

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 450, 570, 988, 842 is 2.

Given numbers are 450, 570, 988, 842

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

Apply this formula for all numbers.

Step1:

LCM(450, 570) = 8550

GCD(450, 570) = ( 450 x 570 ) / 8550

= 450 / 570

= 450

Step2:

LCM(30, 988) = 14820

GCD(30, 988) = ( 30 x 988 ) / 14820

= 30 / 988

= 30

Step3:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

So, Greatest Common Divisor of 450, 570, 988, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 131, 407, 859
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• GCD of 271, 529, 985, 145

Given numbers are 450, 570, 988, 842
The greatest common divisor of numbers 450, 570, 988, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 570, 988, 842 is 2.

1. What is the GCD of 450, 570, 988, 842?

GCD of given numbers 450, 570, 988, 842 is 2

2. How to calculate the greatest common divisor of 450, 570, 988, 842?

We can find the highest common divisor of 450, 570, 988, 842 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 450, 570, 988, 842 i.e 2.

3. How can I use the GCD of 450, 570, 988, 842Calculator?

Out the numbers 450, 570, 988, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.