GCD of 712, 504, 987, 649 Calculator

Given Input numbers are 712, 504, 987, 649

In the factoring method, we have to find the divisors of all numbers

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

GCD of numbers is the greatest common divisor

So, the GCD (712, 504, 987, 649) = 1.

Given numbers are 712, 504, 987, 649

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 987 are 3 x 7 x 47

Prime factors of 649 are 11 x 59

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

Given numbers are 712, 504, 987, 649

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

Apply this formula for all numbers.

Step1:

LCM(712, 504) = 44856

GCD(712, 504) = ( 712 x 504 ) / 44856

= 712 / 504

= 712

Step2:

LCM(8, 987) = 7896

GCD(8, 987) = ( 8 x 987 ) / 7896

= 8 / 987

= 8

Step3:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1

So, Greatest Common Divisor of 712, 504, 987, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 326, 673, 224
• GCD of 622, 238, 241, 658
• GCD of 853, 963, 473, 314
• GCD of 447, 319, 937, 502
• GCD of 805, 537, 479, 501

Given numbers are 712, 504, 987, 649
The greatest common divisor of numbers 712, 504, 987, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 504, 987, 649 is 1.

1. What is the GCD of 712, 504, 987, 649?

GCD of given numbers 712, 504, 987, 649 is 1

2. How to calculate the greatest common divisor of 712, 504, 987, 649?

We can find the highest common divisor of 712, 504, 987, 649 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 712, 504, 987, 649 i.e 1.

3. How can I use the GCD of 712, 504, 987, 649Calculator?

Out the numbers 712, 504, 987, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.