GCD of 987, 345, 626, 704 Calculator

Given Input numbers are 987, 345, 626, 704

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (987, 345, 626, 704) = 1.

Given numbers are 987, 345, 626, 704

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 345 are 3 x 5 x 23

Prime factors of 626 are 2 x 313

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 987, 345, 626, 704

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

Apply this formula for all numbers.

Step1:

LCM(987, 345) = 113505

GCD(987, 345) = ( 987 x 345 ) / 113505

= 987 / 345

= 987

Step2:

LCM(3, 626) = 1878

GCD(3, 626) = ( 3 x 626 ) / 1878

= 3 / 626

= 3

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 987, 345, 626, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 295, 848, 667
• GCD of 325, 128, 250, 782
• GCD of 426, 762, 350, 666
• GCD of 128, 538, 545, 964
• GCD of 691, 771, 285, 814

Given numbers are 987, 345, 626, 704
The greatest common divisor of numbers 987, 345, 626, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 345, 626, 704 is 1.

1. What is the GCD of 987, 345, 626, 704?

GCD of given numbers 987, 345, 626, 704 is 1

2. How to calculate the greatest common divisor of 987, 345, 626, 704?

We can find the highest common divisor of 987, 345, 626, 704 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, 345, 626, 704 i.e 1.

3. How can I use the GCD of 987, 345, 626, 704Calculator?

Out the numbers 987, 345, 626, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.