GCD of 704, 598, 112, 626 Calculator

Given Input numbers are 704, 598, 112, 626

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

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

GCD of numbers is the greatest common divisor

So, the GCD (704, 598, 112, 626) = 2.

Given numbers are 704, 598, 112, 626

The list of prime factors of all numbers are

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

Prime factors of 598 are 2 x 13 x 23

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 626 are 2 x 313

The highest common occurrence is 2¹

Therefore, GCD of 704, 598, 112, 626 is 2.

Given numbers are 704, 598, 112, 626

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

Apply this formula for all numbers.

Step1:

LCM(704, 598) = 210496

GCD(704, 598) = ( 704 x 598 ) / 210496

= 704 / 598

= 704

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

= 2 / 626

= 2

So, Greatest Common Divisor of 704, 598, 112, 626 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 501, 926, 464
• GCD of 109, 979, 532, 833
• GCD of 611, 641, 331, 436
• GCD of 350, 663, 380, 176
• GCD of 672, 821, 393, 223

Given numbers are 704, 598, 112, 626
The greatest common divisor of numbers 704, 598, 112, 626 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 598, 112, 626 is 2.

1. What is the GCD of 704, 598, 112, 626?

GCD of given numbers 704, 598, 112, 626 is 2

2. How to calculate the greatest common divisor of 704, 598, 112, 626?

We can find the highest common divisor of 704, 598, 112, 626 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 704, 598, 112, 626 i.e 2.

3. How can I use the GCD of 704, 598, 112, 626Calculator?

Out the numbers 704, 598, 112, 626 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.