GCD of 704, 134, 714, 586 Calculator

Given Input numbers are 704, 134, 714, 586

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (704, 134, 714, 586) = 2.

Given numbers are 704, 134, 714, 586

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 134 are 2 x 67

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 586 are 2 x 293

The highest common occurrence is 2¹

Therefore, GCD of 704, 134, 714, 586 is 2.

Given numbers are 704, 134, 714, 586

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

Apply this formula for all numbers.

Step1:

LCM(704, 134) = 47168

GCD(704, 134) = ( 704 x 134 ) / 47168

= 704 / 134

= 704

Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

Step3:

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

= 2 / 586

= 2

So, Greatest Common Divisor of 704, 134, 714, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 522, 421, 371
• GCD of 857, 122, 493, 779
• GCD of 771, 365, 733, 836
• GCD of 523, 862, 921, 126
• GCD of 776, 194, 390, 129

Given numbers are 704, 134, 714, 586
The greatest common divisor of numbers 704, 134, 714, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 134, 714, 586 is 2.

1. What is the GCD of 704, 134, 714, 586?

GCD of given numbers 704, 134, 714, 586 is 2

2. How to calculate the greatest common divisor of 704, 134, 714, 586?

We can find the highest common divisor of 704, 134, 714, 586 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, 134, 714, 586 i.e 2.

3. How can I use the GCD of 704, 134, 714, 586Calculator?

Out the numbers 704, 134, 714, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.