GCD of 986, 524, 537, 196 Calculator

Given Input numbers are 986, 524, 537, 196

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

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

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 (986, 524, 537, 196) = 1.

Given numbers are 986, 524, 537, 196

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 524 are 2 x 2 x 131

Prime factors of 537 are 3 x 179

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

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

Given numbers are 986, 524, 537, 196

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

Apply this formula for all numbers.

Step1:

LCM(986, 524) = 258332

GCD(986, 524) = ( 986 x 524 ) / 258332

= 986 / 524

= 986

Step2:

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

= 2 / 537

= 2

Step3:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

So, Greatest Common Divisor of 986, 524, 537, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 697, 296, 501
• GCD of 204, 683, 426, 138
• GCD of 406, 434, 867, 593
• GCD of 233, 948, 286, 852
• GCD of 300, 473, 897, 900

Given numbers are 986, 524, 537, 196
The greatest common divisor of numbers 986, 524, 537, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 524, 537, 196 is 1.

1. What is the GCD of 986, 524, 537, 196?

GCD of given numbers 986, 524, 537, 196 is 1

2. How to calculate the greatest common divisor of 986, 524, 537, 196?

We can find the highest common divisor of 986, 524, 537, 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 986, 524, 537, 196 i.e 1.

3. How can I use the GCD of 986, 524, 537, 196Calculator?

Out the numbers 986, 524, 537, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.