GCD of 987, 150, 998, 214 Calculator

Given Input numbers are 987, 150, 998, 214

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (987, 150, 998, 214) = 1.

Given numbers are 987, 150, 998, 214

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 998 are 2 x 499

Prime factors of 214 are 2 x 107

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

Given numbers are 987, 150, 998, 214

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

Apply this formula for all numbers.

Step1:

LCM(987, 150) = 49350

GCD(987, 150) = ( 987 x 150 ) / 49350

= 987 / 150

= 987

Step2:

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

= 3 / 998

= 3

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 987, 150, 998, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 307, 720, 740
• GCD of 334, 566, 607, 748
• GCD of 927, 868, 197, 654
• GCD of 830, 213, 390, 223
• GCD of 230, 130, 933, 558

Given numbers are 987, 150, 998, 214
The greatest common divisor of numbers 987, 150, 998, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 150, 998, 214 is 1.

1. What is the GCD of 987, 150, 998, 214?

GCD of given numbers 987, 150, 998, 214 is 1

2. How to calculate the greatest common divisor of 987, 150, 998, 214?

We can find the highest common divisor of 987, 150, 998, 214 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, 150, 998, 214 i.e 1.

3. How can I use the GCD of 987, 150, 998, 214Calculator?

Out the numbers 987, 150, 998, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.