GCD of 727, 686, 649, 792 Calculator

Given Input numbers are 727, 686, 649, 792

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

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 649 :

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

1, 11, 59, 649

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

GCD of numbers is the greatest common divisor

So, the GCD (727, 686, 649, 792) = 1.

Given numbers are 727, 686, 649, 792

The list of prime factors of all numbers are

Prime factors of 727 are 727

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 649 are 11 x 59

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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

Given numbers are 727, 686, 649, 792

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

Apply this formula for all numbers.

Step1:

LCM(727, 686) = 498722

GCD(727, 686) = ( 727 x 686 ) / 498722

= 727 / 686

= 727

Step2:

LCM(1, 649) = 649

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

= 1 / 649

= 1

Step3:

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

= 1 / 792

= 1

So, Greatest Common Divisor of 727, 686, 649, 792 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 533, 757, 968
• GCD of 314, 720, 987, 549
• GCD of 595, 569, 843, 778
• GCD of 902, 918, 438, 187
• GCD of 899, 395, 820, 238

Given numbers are 727, 686, 649, 792
The greatest common divisor of numbers 727, 686, 649, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 727, 686, 649, 792 is 1.

1. What is the GCD of 727, 686, 649, 792?

GCD of given numbers 727, 686, 649, 792 is 1

2. How to calculate the greatest common divisor of 727, 686, 649, 792?

We can find the highest common divisor of 727, 686, 649, 792 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 727, 686, 649, 792 i.e 1.

3. How can I use the GCD of 727, 686, 649, 792Calculator?

Out the numbers 727, 686, 649, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.