GCD of 820, 400, 274, 852 Calculator

Given Input numbers are 820, 400, 274, 852

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 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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (820, 400, 274, 852) = 2.

Given numbers are 820, 400, 274, 852

The list of prime factors of all numbers are

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

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

Prime factors of 274 are 2 x 137

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 820, 400, 274, 852 is 2.

Given numbers are 820, 400, 274, 852

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

Apply this formula for all numbers.

Step1:

LCM(820, 400) = 16400

GCD(820, 400) = ( 820 x 400 ) / 16400

= 820 / 400

= 820

Step2:

LCM(20, 274) = 2740

GCD(20, 274) = ( 20 x 274 ) / 2740

= 20 / 274

= 20

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 820, 400, 274, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 978, 495, 516
• GCD of 781, 224, 359, 414
• GCD of 748, 293, 557, 154
• GCD of 191, 920, 864, 211
• GCD of 982, 883, 364, 685

Given numbers are 820, 400, 274, 852
The greatest common divisor of numbers 820, 400, 274, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 400, 274, 852 is 2.

1. What is the GCD of 820, 400, 274, 852?

GCD of given numbers 820, 400, 274, 852 is 2

2. How to calculate the greatest common divisor of 820, 400, 274, 852?

We can find the highest common divisor of 820, 400, 274, 852 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, 400, 274, 852 i.e 2.

3. How can I use the GCD of 820, 400, 274, 852Calculator?

Out the numbers 820, 400, 274, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.