GCD of 690, 396, 584, 196 Calculator

Given Input numbers are 690, 396, 584, 196

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (690, 396, 584, 196) = 2.

Given numbers are 690, 396, 584, 196

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 196 are 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 690, 396, 584, 196 is 2.

Given numbers are 690, 396, 584, 196

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

Apply this formula for all numbers.

Step1:

LCM(690, 396) = 45540

GCD(690, 396) = ( 690 x 396 ) / 45540

= 690 / 396

= 690

Step2:

LCM(6, 584) = 1752

GCD(6, 584) = ( 6 x 584 ) / 1752

= 6 / 584

= 6

Step3:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

So, Greatest Common Divisor of 690, 396, 584, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 816, 848, 397
• GCD of 292, 570, 985, 992
• GCD of 827, 394, 283, 298
• GCD of 679, 420, 396, 716
• GCD of 347, 331, 425, 328

Given numbers are 690, 396, 584, 196
The greatest common divisor of numbers 690, 396, 584, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 396, 584, 196 is 2.

1. What is the GCD of 690, 396, 584, 196?

GCD of given numbers 690, 396, 584, 196 is 2

2. How to calculate the greatest common divisor of 690, 396, 584, 196?

We can find the highest common divisor of 690, 396, 584, 196 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 690, 396, 584, 196 i.e 2.

3. How can I use the GCD of 690, 396, 584, 196Calculator?

Out the numbers 690, 396, 584, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.