GCD of 120, 891, 349, 985 Calculator

Given Input numbers are 120, 891, 349, 985

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

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 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

GCD of numbers is the greatest common divisor

So, the GCD (120, 891, 349, 985) = 1.

Given numbers are 120, 891, 349, 985

The list of prime factors of all numbers are

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

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 349 are 349

Prime factors of 985 are 5 x 197

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

Given numbers are 120, 891, 349, 985

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

Apply this formula for all numbers.

Step1:

LCM(120, 891) = 35640

GCD(120, 891) = ( 120 x 891 ) / 35640

= 120 / 891

= 120

Step2:

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

= 3 / 349

= 3

Step3:

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

= 1 / 985

= 1

So, Greatest Common Divisor of 120, 891, 349, 985 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 782, 314, 912
• GCD of 787, 698, 718, 649
• GCD of 196, 300, 159, 610
• GCD of 681, 587, 840, 785
• GCD of 855, 700, 551, 894

Given numbers are 120, 891, 349, 985
The greatest common divisor of numbers 120, 891, 349, 985 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 891, 349, 985 is 1.

1. What is the GCD of 120, 891, 349, 985?

GCD of given numbers 120, 891, 349, 985 is 1

2. How to calculate the greatest common divisor of 120, 891, 349, 985?

We can find the highest common divisor of 120, 891, 349, 985 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 120, 891, 349, 985 i.e 1.

3. How can I use the GCD of 120, 891, 349, 985Calculator?

Out the numbers 120, 891, 349, 985 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.