GCD of 142, 550, 30, 820 Calculator

Given Input numbers are 142, 550, 30, 820

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

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (142, 550, 30, 820) = 2.

Given numbers are 142, 550, 30, 820

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 30 are 2 x 3 x 5

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 142, 550, 30, 820 is 2.

Given numbers are 142, 550, 30, 820

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

Apply this formula for all numbers.

Step1:

LCM(142, 550) = 39050

GCD(142, 550) = ( 142 x 550 ) / 39050

= 142 / 550

= 142

Step2:

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

= 2 / 30

= 2

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 142, 550, 30, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 417, 38, 448
• GCD of 374, 903, 46, 138
• GCD of 688, 688, 74, 480
• GCD of 470, 449, 26, 663
• GCD of 892, 629, 65, 318

Given numbers are 142, 550, 30, 820
The greatest common divisor of numbers 142, 550, 30, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 550, 30, 820 is 2.

1. What is the GCD of 142, 550, 30, 820?

GCD of given numbers 142, 550, 30, 820 is 2

2. How to calculate the greatest common divisor of 142, 550, 30, 820?

We can find the highest common divisor of 142, 550, 30, 820 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 142, 550, 30, 820 i.e 2.

3. How can I use the GCD of 142, 550, 30, 820Calculator?

Out the numbers 142, 550, 30, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.