GCD of 784, 378, 65, 725 Calculator

Given Input numbers are 784, 378, 65, 725

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (784, 378, 65, 725) = 1.

Given numbers are 784, 378, 65, 725

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 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 65 are 5 x 13

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 784, 378, 65, 725

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

Apply this formula for all numbers.

Step1:

LCM(784, 378) = 21168

GCD(784, 378) = ( 784 x 378 ) / 21168

= 784 / 378

= 784

Step2:

LCM(14, 65) = 910

GCD(14, 65) = ( 14 x 65 ) / 910

= 14 / 65

= 14

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 784, 378, 65, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 376, 58, 964
• GCD of 412, 474, 75, 786
• GCD of 699, 981, 87, 667
• GCD of 640, 779, 70, 128
• GCD of 589, 873, 20, 720

Given numbers are 784, 378, 65, 725
The greatest common divisor of numbers 784, 378, 65, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 378, 65, 725 is 1.

1. What is the GCD of 784, 378, 65, 725?

GCD of given numbers 784, 378, 65, 725 is 1

2. How to calculate the greatest common divisor of 784, 378, 65, 725?

We can find the highest common divisor of 784, 378, 65, 725 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, 378, 65, 725 i.e 1.

3. How can I use the GCD of 784, 378, 65, 725Calculator?

Out the numbers 784, 378, 65, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.