GCD of 820, 862, 400, 342 Calculator

Given Input numbers are 820, 862, 400, 342

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 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (820, 862, 400, 342) = 2.

Given numbers are 820, 862, 400, 342

The list of prime factors of all numbers are

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

Prime factors of 862 are 2 x 431

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

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 820, 862, 400, 342 is 2.

Given numbers are 820, 862, 400, 342

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

Apply this formula for all numbers.

Step1:

LCM(820, 862) = 353420

GCD(820, 862) = ( 820 x 862 ) / 353420

= 820 / 862

= 820

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 820, 862, 400, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 397, 630, 209
• GCD of 376, 526, 978, 201
• GCD of 399, 784, 947, 525
• GCD of 649, 379, 164, 637
• GCD of 347, 892, 802, 732

Given numbers are 820, 862, 400, 342
The greatest common divisor of numbers 820, 862, 400, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 862, 400, 342 is 2.

1. What is the GCD of 820, 862, 400, 342?

GCD of given numbers 820, 862, 400, 342 is 2

2. How to calculate the greatest common divisor of 820, 862, 400, 342?

We can find the highest common divisor of 820, 862, 400, 342 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, 862, 400, 342 i.e 2.

3. How can I use the GCD of 820, 862, 400, 342Calculator?

Out the numbers 820, 862, 400, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.