GCD of 987, 201, 350, 112 Calculator

Given Input numbers are 987, 201, 350, 112

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 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (987, 201, 350, 112) = 1.

Given numbers are 987, 201, 350, 112

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 201 are 3 x 67

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 987, 201, 350, 112

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

Apply this formula for all numbers.

Step1:

LCM(987, 201) = 66129

GCD(987, 201) = ( 987 x 201 ) / 66129

= 987 / 201

= 987

Step2:

LCM(3, 350) = 1050

GCD(3, 350) = ( 3 x 350 ) / 1050

= 3 / 350

= 3

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 987, 201, 350, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 360, 525, 960
• GCD of 208, 929, 511, 383
• GCD of 184, 951, 542, 586
• GCD of 162, 245, 274, 563
• GCD of 384, 254, 549, 536

Given numbers are 987, 201, 350, 112
The greatest common divisor of numbers 987, 201, 350, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 201, 350, 112 is 1.

1. What is the GCD of 987, 201, 350, 112?

GCD of given numbers 987, 201, 350, 112 is 1

2. How to calculate the greatest common divisor of 987, 201, 350, 112?

We can find the highest common divisor of 987, 201, 350, 112 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, 201, 350, 112 i.e 1.

3. How can I use the GCD of 987, 201, 350, 112Calculator?

Out the numbers 987, 201, 350, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.