GCD of 564, 199, 987, 120 Calculator

Given Input numbers are 564, 199, 987, 120

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 987 :

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

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

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 (564, 199, 987, 120) = 1.

Given numbers are 564, 199, 987, 120

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 199 are 199

Prime factors of 987 are 3 x 7 x 47

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 564, 199, 987, 120

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

Apply this formula for all numbers.

Step1:

LCM(564, 199) = 112236

GCD(564, 199) = ( 564 x 199 ) / 112236

= 564 / 199

= 564

Step2:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 564, 199, 987, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 744, 294, 173
• GCD of 620, 867, 892, 551
• GCD of 350, 956, 841, 184
• GCD of 504, 361, 381, 699
• GCD of 997, 319, 435, 734

Given numbers are 564, 199, 987, 120
The greatest common divisor of numbers 564, 199, 987, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 199, 987, 120 is 1.

1. What is the GCD of 564, 199, 987, 120?

GCD of given numbers 564, 199, 987, 120 is 1

2. How to calculate the greatest common divisor of 564, 199, 987, 120?

We can find the highest common divisor of 564, 199, 987, 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 564, 199, 987, 120 i.e 1.

3. How can I use the GCD of 564, 199, 987, 120Calculator?

Out the numbers 564, 199, 987, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.