GCD of 704, 760, 209, 713 Calculator

Given Input numbers are 704, 760, 209, 713

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

GCD of numbers is the greatest common divisor

So, the GCD (704, 760, 209, 713) = 1.

Given numbers are 704, 760, 209, 713

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 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 209 are 11 x 19

Prime factors of 713 are 23 x 31

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

Given numbers are 704, 760, 209, 713

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

Apply this formula for all numbers.

Step1:

LCM(704, 760) = 66880

GCD(704, 760) = ( 704 x 760 ) / 66880

= 704 / 760

= 704

Step2:

LCM(8, 209) = 1672

GCD(8, 209) = ( 8 x 209 ) / 1672

= 8 / 209

= 8

Step3:

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

= 1 / 713

= 1

So, Greatest Common Divisor of 704, 760, 209, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 723, 112, 925
• GCD of 980, 157, 128, 591
• GCD of 805, 751, 327, 172
• GCD of 400, 176, 685, 350
• GCD of 628, 463, 337, 778

Given numbers are 704, 760, 209, 713
The greatest common divisor of numbers 704, 760, 209, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 760, 209, 713 is 1.

1. What is the GCD of 704, 760, 209, 713?

GCD of given numbers 704, 760, 209, 713 is 1

2. How to calculate the greatest common divisor of 704, 760, 209, 713?

We can find the highest common divisor of 704, 760, 209, 713 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, 760, 209, 713 i.e 1.

3. How can I use the GCD of 704, 760, 209, 713Calculator?

Out the numbers 704, 760, 209, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.