GCD of 986, 509, 120, 109 Calculator

Given Input numbers are 986, 509, 120, 109

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 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (986, 509, 120, 109) = 1.

Given numbers are 986, 509, 120, 109

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 509 are 509

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 109 are 109

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

Given numbers are 986, 509, 120, 109

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

Apply this formula for all numbers.

Step1:

LCM(986, 509) = 501874

GCD(986, 509) = ( 986 x 509 ) / 501874

= 986 / 509

= 986

Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 986, 509, 120, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 896, 659, 800
• GCD of 495, 532, 303, 943
• GCD of 168, 907, 118, 895
• GCD of 461, 571, 455, 109
• GCD of 571, 594, 877, 453

Given numbers are 986, 509, 120, 109
The greatest common divisor of numbers 986, 509, 120, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 509, 120, 109 is 1.

1. What is the GCD of 986, 509, 120, 109?

GCD of given numbers 986, 509, 120, 109 is 1

2. How to calculate the greatest common divisor of 986, 509, 120, 109?

We can find the highest common divisor of 986, 509, 120, 109 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, 509, 120, 109 i.e 1.

3. How can I use the GCD of 986, 509, 120, 109Calculator?

Out the numbers 986, 509, 120, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.