GCD of 986, 990, 772, 987 Calculator

Given Input numbers are 986, 990, 772, 987

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (986, 990, 772, 987) = 1.

Given numbers are 986, 990, 772, 987

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 772 are 2 x 2 x 193

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 986, 990, 772, 987

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

Apply this formula for all numbers.

Step1:

LCM(986, 990) = 488070

GCD(986, 990) = ( 986 x 990 ) / 488070

= 986 / 990

= 986

Step2:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

Step3:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2

So, Greatest Common Divisor of 986, 990, 772, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 914, 679, 207
• GCD of 814, 839, 960, 540
• GCD of 393, 672, 731, 481
• GCD of 349, 603, 267, 514
• GCD of 749, 953, 800, 112

Given numbers are 986, 990, 772, 987
The greatest common divisor of numbers 986, 990, 772, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 990, 772, 987 is 1.

1. What is the GCD of 986, 990, 772, 987?

GCD of given numbers 986, 990, 772, 987 is 1

2. How to calculate the greatest common divisor of 986, 990, 772, 987?

We can find the highest common divisor of 986, 990, 772, 987 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, 990, 772, 987 i.e 1.

3. How can I use the GCD of 986, 990, 772, 987Calculator?

Out the numbers 986, 990, 772, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.