GCD of 208, 440, 492, 709 Calculator

Given Input numbers are 208, 440, 492, 709

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (208, 440, 492, 709) = 1.

Given numbers are 208, 440, 492, 709

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 709 are 709

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

Given numbers are 208, 440, 492, 709

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

Apply this formula for all numbers.

Step1:

LCM(208, 440) = 11440

GCD(208, 440) = ( 208 x 440 ) / 11440

= 208 / 440

= 208

Step2:

LCM(8, 492) = 984

GCD(8, 492) = ( 8 x 492 ) / 984

= 8 / 492

= 8

Step3:

LCM(4, 709) = 2836

GCD(4, 709) = ( 4 x 709 ) / 2836

= 4 / 709

= 4

So, Greatest Common Divisor of 208, 440, 492, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 943, 587, 603
• GCD of 932, 713, 159, 275
• GCD of 824, 413, 404, 506
• GCD of 514, 211, 577, 644
• GCD of 188, 887, 644, 889

Given numbers are 208, 440, 492, 709
The greatest common divisor of numbers 208, 440, 492, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 440, 492, 709 is 1.

1. What is the GCD of 208, 440, 492, 709?

GCD of given numbers 208, 440, 492, 709 is 1

2. How to calculate the greatest common divisor of 208, 440, 492, 709?

We can find the highest common divisor of 208, 440, 492, 709 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 208, 440, 492, 709 i.e 1.

3. How can I use the GCD of 208, 440, 492, 709Calculator?

Out the numbers 208, 440, 492, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.