GCD of 782, 622, 456, 704 Calculator

Given Input numbers are 782, 622, 456, 704

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (782, 622, 456, 704) = 2.

Given numbers are 782, 622, 456, 704

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 622 are 2 x 311

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 782, 622, 456, 704 is 2.

Given numbers are 782, 622, 456, 704

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

Apply this formula for all numbers.

Step1:

LCM(782, 622) = 243202

GCD(782, 622) = ( 782 x 622 ) / 243202

= 782 / 622

= 782

Step2:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 782, 622, 456, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 430, 613, 481
• GCD of 314, 385, 238, 581
• GCD of 350, 606, 545, 375
• GCD of 983, 969, 760, 263
• GCD of 131, 273, 314, 823

Given numbers are 782, 622, 456, 704
The greatest common divisor of numbers 782, 622, 456, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 622, 456, 704 is 2.

1. What is the GCD of 782, 622, 456, 704?

GCD of given numbers 782, 622, 456, 704 is 2

2. How to calculate the greatest common divisor of 782, 622, 456, 704?

We can find the highest common divisor of 782, 622, 456, 704 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 782, 622, 456, 704 i.e 2.

3. How can I use the GCD of 782, 622, 456, 704Calculator?

Out the numbers 782, 622, 456, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.