GCD of 986, 550, 723, 961 Calculator

Given Input numbers are 986, 550, 723, 961

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (986, 550, 723, 961) = 1.

Given numbers are 986, 550, 723, 961

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 723 are 3 x 241

Prime factors of 961 are 31 x 31

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

Given numbers are 986, 550, 723, 961

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

Apply this formula for all numbers.

Step1:

LCM(986, 550) = 271150

GCD(986, 550) = ( 986 x 550 ) / 271150

= 986 / 550

= 986

Step2:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 986, 550, 723, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 262, 764, 235
• GCD of 192, 695, 150, 536
• GCD of 629, 355, 203, 703
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• GCD of 577, 277, 184, 665

Given numbers are 986, 550, 723, 961
The greatest common divisor of numbers 986, 550, 723, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 550, 723, 961 is 1.

1. What is the GCD of 986, 550, 723, 961?

GCD of given numbers 986, 550, 723, 961 is 1

2. How to calculate the greatest common divisor of 986, 550, 723, 961?

We can find the highest common divisor of 986, 550, 723, 961 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, 550, 723, 961 i.e 1.

3. How can I use the GCD of 986, 550, 723, 961Calculator?

Out the numbers 986, 550, 723, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.