GCD of 208, 708, 680, 465 Calculator

Given Input numbers are 208, 708, 680, 465

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (208, 708, 680, 465) = 1.

Given numbers are 208, 708, 680, 465

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 708 are 2 x 2 x 3 x 59

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 465 are 3 x 5 x 31

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

Given numbers are 208, 708, 680, 465

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

Apply this formula for all numbers.

Step1:

LCM(208, 708) = 36816

GCD(208, 708) = ( 208 x 708 ) / 36816

= 208 / 708

= 208

Step2:

LCM(4, 680) = 680

GCD(4, 680) = ( 4 x 680 ) / 680

= 4 / 680

= 4

Step3:

LCM(4, 465) = 1860

GCD(4, 465) = ( 4 x 465 ) / 1860

= 4 / 465

= 4

So, Greatest Common Divisor of 208, 708, 680, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 124, 653, 622
• GCD of 807, 822, 425, 238
• GCD of 582, 581, 234, 334
• GCD of 790, 724, 891, 562
• GCD of 425, 665, 155, 747

Given numbers are 208, 708, 680, 465
The greatest common divisor of numbers 208, 708, 680, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 708, 680, 465 is 1.

1. What is the GCD of 208, 708, 680, 465?

GCD of given numbers 208, 708, 680, 465 is 1

2. How to calculate the greatest common divisor of 208, 708, 680, 465?

We can find the highest common divisor of 208, 708, 680, 465 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, 708, 680, 465 i.e 1.

3. How can I use the GCD of 208, 708, 680, 465Calculator?

Out the numbers 208, 708, 680, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.