GCD of 784, 360, 484, 678 Calculator

Given Input numbers are 784, 360, 484, 678

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (784, 360, 484, 678) = 2.

Given numbers are 784, 360, 484, 678

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 784, 360, 484, 678 is 2.

Given numbers are 784, 360, 484, 678

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

Apply this formula for all numbers.

Step1:

LCM(784, 360) = 35280

GCD(784, 360) = ( 784 x 360 ) / 35280

= 784 / 360

= 784

Step2:

LCM(8, 484) = 968

GCD(8, 484) = ( 8 x 484 ) / 968

= 8 / 484

= 8

Step3:

LCM(4, 678) = 1356

GCD(4, 678) = ( 4 x 678 ) / 1356

= 4 / 678

= 4

So, Greatest Common Divisor of 784, 360, 484, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 235, 320, 507
• GCD of 323, 973, 535, 937
• GCD of 589, 784, 152, 680
• GCD of 191, 770, 983, 554
• GCD of 891, 830, 492, 344

Given numbers are 784, 360, 484, 678
The greatest common divisor of numbers 784, 360, 484, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 360, 484, 678 is 2.

1. What is the GCD of 784, 360, 484, 678?

GCD of given numbers 784, 360, 484, 678 is 2

2. How to calculate the greatest common divisor of 784, 360, 484, 678?

We can find the highest common divisor of 784, 360, 484, 678 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, 360, 484, 678 i.e 2.

3. How can I use the GCD of 784, 360, 484, 678Calculator?

Out the numbers 784, 360, 484, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.