GCD of 986, 698, 631, 916 Calculator

Given Input numbers are 986, 698, 631, 916

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 631 :

The positive integer divisors of 631 that completely divides 631 are.

1, 631

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (986, 698, 631, 916) = 1.

Given numbers are 986, 698, 631, 916

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 698 are 2 x 349

Prime factors of 631 are 631

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 986, 698, 631, 916

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

Apply this formula for all numbers.

Step1:

LCM(986, 698) = 344114

GCD(986, 698) = ( 986 x 698 ) / 344114

= 986 / 698

= 986

Step2:

LCM(2, 631) = 1262

GCD(2, 631) = ( 2 x 631 ) / 1262

= 2 / 631

= 2

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 986, 698, 631, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 477, 270, 495
• GCD of 612, 734, 578, 438
• GCD of 767, 868, 597, 941
• GCD of 634, 204, 802, 782
• GCD of 924, 290, 511, 576

Given numbers are 986, 698, 631, 916
The greatest common divisor of numbers 986, 698, 631, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 698, 631, 916 is 1.

1. What is the GCD of 986, 698, 631, 916?

GCD of given numbers 986, 698, 631, 916 is 1

2. How to calculate the greatest common divisor of 986, 698, 631, 916?

We can find the highest common divisor of 986, 698, 631, 916 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, 698, 631, 916 i.e 1.

3. How can I use the GCD of 986, 698, 631, 916Calculator?

Out the numbers 986, 698, 631, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.