GCD of 987, 789, 854, 221 Calculator

Given Input numbers are 987, 789, 854, 221

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

Divisors of 987 :

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

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (987, 789, 854, 221) = 1.

Given numbers are 987, 789, 854, 221

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 789 are 3 x 263

Prime factors of 854 are 2 x 7 x 61

Prime factors of 221 are 13 x 17

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

Given numbers are 987, 789, 854, 221

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

Apply this formula for all numbers.

Step1:

LCM(987, 789) = 259581

GCD(987, 789) = ( 987 x 789 ) / 259581

= 987 / 789

= 987

Step2:

LCM(3, 854) = 2562

GCD(3, 854) = ( 3 x 854 ) / 2562

= 3 / 854

= 3

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 987, 789, 854, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 449, 583, 695
• GCD of 767, 217, 406, 184
• GCD of 833, 157, 372, 172
• GCD of 754, 677, 293, 842
• GCD of 700, 820, 314, 464

Given numbers are 987, 789, 854, 221
The greatest common divisor of numbers 987, 789, 854, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 789, 854, 221 is 1.

1. What is the GCD of 987, 789, 854, 221?

GCD of given numbers 987, 789, 854, 221 is 1

2. How to calculate the greatest common divisor of 987, 789, 854, 221?

We can find the highest common divisor of 987, 789, 854, 221 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 987, 789, 854, 221 i.e 1.

3. How can I use the GCD of 987, 789, 854, 221Calculator?

Out the numbers 987, 789, 854, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.