GCD of 987, 396, 748, 697 Calculator

Given Input numbers are 987, 396, 748, 697

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (987, 396, 748, 697) = 1.

Given numbers are 987, 396, 748, 697

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 697 are 17 x 41

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

Given numbers are 987, 396, 748, 697

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

Apply this formula for all numbers.

Step1:

LCM(987, 396) = 130284

GCD(987, 396) = ( 987 x 396 ) / 130284

= 987 / 396

= 987

Step2:

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

= 3 / 748

= 3

Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

So, Greatest Common Divisor of 987, 396, 748, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 276, 483, 483
• GCD of 880, 997, 453, 343
• GCD of 593, 732, 161, 910
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• GCD of 576, 498, 294, 307

Given numbers are 987, 396, 748, 697
The greatest common divisor of numbers 987, 396, 748, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 396, 748, 697 is 1.

1. What is the GCD of 987, 396, 748, 697?

GCD of given numbers 987, 396, 748, 697 is 1

2. How to calculate the greatest common divisor of 987, 396, 748, 697?

We can find the highest common divisor of 987, 396, 748, 697 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, 396, 748, 697 i.e 1.

3. How can I use the GCD of 987, 396, 748, 697Calculator?

Out the numbers 987, 396, 748, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.