GCD of 549, 993, 698, 120 Calculator

Given Input numbers are 549, 993, 698, 120

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

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 698 :

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

1, 2, 349, 698

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

GCD of numbers is the greatest common divisor

So, the GCD (549, 993, 698, 120) = 1.

Given numbers are 549, 993, 698, 120

The list of prime factors of all numbers are

Prime factors of 549 are 3 x 3 x 61

Prime factors of 993 are 3 x 331

Prime factors of 698 are 2 x 349

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

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

Given numbers are 549, 993, 698, 120

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

Apply this formula for all numbers.

Step1:

LCM(549, 993) = 181719

GCD(549, 993) = ( 549 x 993 ) / 181719

= 549 / 993

= 549

Step2:

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

= 3 / 698

= 3

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 549, 993, 698, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 234, 822, 978
• GCD of 977, 178, 109, 166
• GCD of 938, 637, 541, 268
• GCD of 245, 350, 852, 188
• GCD of 326, 813, 695, 816

Given numbers are 549, 993, 698, 120
The greatest common divisor of numbers 549, 993, 698, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 549, 993, 698, 120 is 1.

1. What is the GCD of 549, 993, 698, 120?

GCD of given numbers 549, 993, 698, 120 is 1

2. How to calculate the greatest common divisor of 549, 993, 698, 120?

We can find the highest common divisor of 549, 993, 698, 120 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 549, 993, 698, 120 i.e 1.

3. How can I use the GCD of 549, 993, 698, 120Calculator?

Out the numbers 549, 993, 698, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.