GCD of 987, 384, 692, 752 Calculator

Given Input numbers are 987, 384, 692, 752

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (987, 384, 692, 752) = 1.

Given numbers are 987, 384, 692, 752

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 692 are 2 x 2 x 173

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Given numbers are 987, 384, 692, 752

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

Apply this formula for all numbers.

Step1:

LCM(987, 384) = 126336

GCD(987, 384) = ( 987 x 384 ) / 126336

= 987 / 384

= 987

Step2:

LCM(3, 692) = 2076

GCD(3, 692) = ( 3 x 692 ) / 2076

= 3 / 692

= 3

Step3:

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

= 1 / 752

= 1

So, Greatest Common Divisor of 987, 384, 692, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 745, 745, 273
• GCD of 975, 927, 946, 432
• GCD of 327, 746, 266, 682
• GCD of 575, 403, 319, 703
• GCD of 958, 881, 612, 603

Given numbers are 987, 384, 692, 752
The greatest common divisor of numbers 987, 384, 692, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 384, 692, 752 is 1.

1. What is the GCD of 987, 384, 692, 752?

GCD of given numbers 987, 384, 692, 752 is 1

2. How to calculate the greatest common divisor of 987, 384, 692, 752?

We can find the highest common divisor of 987, 384, 692, 752 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, 384, 692, 752 i.e 1.

3. How can I use the GCD of 987, 384, 692, 752Calculator?

Out the numbers 987, 384, 692, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.