GCD of 820, 280, 694, 198 Calculator

Given Input numbers are 820, 280, 694, 198

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (820, 280, 694, 198) = 2.

Given numbers are 820, 280, 694, 198

The list of prime factors of all numbers are

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 694 are 2 x 347

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 820, 280, 694, 198 is 2.

Given numbers are 820, 280, 694, 198

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

Apply this formula for all numbers.

Step1:

LCM(820, 280) = 11480

GCD(820, 280) = ( 820 x 280 ) / 11480

= 820 / 280

= 820

Step2:

LCM(20, 694) = 6940

GCD(20, 694) = ( 20 x 694 ) / 6940

= 20 / 694

= 20

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 820, 280, 694, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 215, 505, 558
• GCD of 821, 506, 282, 466
• GCD of 935, 266, 537, 143
• GCD of 277, 611, 895, 208
• GCD of 402, 256, 596, 692

Given numbers are 820, 280, 694, 198
The greatest common divisor of numbers 820, 280, 694, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 280, 694, 198 is 2.

1. What is the GCD of 820, 280, 694, 198?

GCD of given numbers 820, 280, 694, 198 is 2

2. How to calculate the greatest common divisor of 820, 280, 694, 198?

We can find the highest common divisor of 820, 280, 694, 198 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, 280, 694, 198 i.e 2.

3. How can I use the GCD of 820, 280, 694, 198Calculator?

Out the numbers 820, 280, 694, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.