GCD of 196, 562, 221, 214 Calculator

Given Input numbers are 196, 562, 221, 214

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

Divisors of 196 :

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

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (196, 562, 221, 214) = 1.

Given numbers are 196, 562, 221, 214

The list of prime factors of all numbers are

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

Prime factors of 562 are 2 x 281

Prime factors of 221 are 13 x 17

Prime factors of 214 are 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 196, 562, 221, 214

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

Apply this formula for all numbers.

Step1:

LCM(196, 562) = 55076

GCD(196, 562) = ( 196 x 562 ) / 55076

= 196 / 562

= 196

Step2:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 196, 562, 221, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 307, 639, 156
• GCD of 241, 992, 756, 140
• GCD of 563, 595, 315, 215
• GCD of 369, 233, 109, 810
• GCD of 336, 221, 424, 510

Given numbers are 196, 562, 221, 214
The greatest common divisor of numbers 196, 562, 221, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 562, 221, 214 is 1.

1. What is the GCD of 196, 562, 221, 214?

GCD of given numbers 196, 562, 221, 214 is 1

2. How to calculate the greatest common divisor of 196, 562, 221, 214?

We can find the highest common divisor of 196, 562, 221, 214 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 196, 562, 221, 214 i.e 1.

3. How can I use the GCD of 196, 562, 221, 214Calculator?

Out the numbers 196, 562, 221, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.