GCD of 784, 720, 738, 687 Calculator

Given Input numbers are 784, 720, 738, 687

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (784, 720, 738, 687) = 1.

Given numbers are 784, 720, 738, 687

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 687 are 3 x 229

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

Given numbers are 784, 720, 738, 687

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

Apply this formula for all numbers.

Step1:

LCM(784, 720) = 35280

GCD(784, 720) = ( 784 x 720 ) / 35280

= 784 / 720

= 784

Step2:

LCM(16, 738) = 5904

GCD(16, 738) = ( 16 x 738 ) / 5904

= 16 / 738

= 16

Step3:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

So, Greatest Common Divisor of 784, 720, 738, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 822, 253, 256
• GCD of 318, 932, 835, 822
• GCD of 936, 884, 297, 284
• GCD of 351, 563, 267, 916
• GCD of 586, 118, 993, 931

Given numbers are 784, 720, 738, 687
The greatest common divisor of numbers 784, 720, 738, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 720, 738, 687 is 1.

1. What is the GCD of 784, 720, 738, 687?

GCD of given numbers 784, 720, 738, 687 is 1

2. How to calculate the greatest common divisor of 784, 720, 738, 687?

We can find the highest common divisor of 784, 720, 738, 687 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 784, 720, 738, 687 i.e 1.

3. How can I use the GCD of 784, 720, 738, 687Calculator?

Out the numbers 784, 720, 738, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.