GCD of 820, 842, 152, 398 Calculator

Given Input numbers are 820, 842, 152, 398

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

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

Divisors of 842 :

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

1, 2, 421, 842

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (820, 842, 152, 398) = 2.

Given numbers are 820, 842, 152, 398

The list of prime factors of all numbers are

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

Prime factors of 842 are 2 x 421

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 820, 842, 152, 398 is 2.

Given numbers are 820, 842, 152, 398

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

Apply this formula for all numbers.

Step1:

LCM(820, 842) = 345220

GCD(820, 842) = ( 820 x 842 ) / 345220

= 820 / 842

= 820

Step2:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 820, 842, 152, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 691, 301, 587
• GCD of 129, 446, 502, 230
• GCD of 788, 453, 361, 157
• GCD of 236, 598, 656, 771
• GCD of 513, 561, 605, 113

Given numbers are 820, 842, 152, 398
The greatest common divisor of numbers 820, 842, 152, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 842, 152, 398 is 2.

1. What is the GCD of 820, 842, 152, 398?

GCD of given numbers 820, 842, 152, 398 is 2

2. How to calculate the greatest common divisor of 820, 842, 152, 398?

We can find the highest common divisor of 820, 842, 152, 398 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 820, 842, 152, 398 i.e 2.

3. How can I use the GCD of 820, 842, 152, 398Calculator?

Out the numbers 820, 842, 152, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.