GCD of 208, 966, 709, 634 Calculator

Given Input numbers are 208, 966, 709, 634

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 709 :

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

1, 709

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (208, 966, 709, 634) = 1.

Given numbers are 208, 966, 709, 634

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 966 are 2 x 3 x 7 x 23

Prime factors of 709 are 709

Prime factors of 634 are 2 x 317

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

Given numbers are 208, 966, 709, 634

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

Apply this formula for all numbers.

Step1:

LCM(208, 966) = 100464

GCD(208, 966) = ( 208 x 966 ) / 100464

= 208 / 966

= 208

Step2:

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

= 2 / 709

= 2

Step3:

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

= 1 / 634

= 1

So, Greatest Common Divisor of 208, 966, 709, 634 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 515, 146, 159
• GCD of 658, 223, 516, 825
• GCD of 369, 751, 283, 971
• GCD of 445, 283, 478, 977
• GCD of 379, 199, 118, 511

Given numbers are 208, 966, 709, 634
The greatest common divisor of numbers 208, 966, 709, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 966, 709, 634 is 1.

1. What is the GCD of 208, 966, 709, 634?

GCD of given numbers 208, 966, 709, 634 is 1

2. How to calculate the greatest common divisor of 208, 966, 709, 634?

We can find the highest common divisor of 208, 966, 709, 634 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, 966, 709, 634 i.e 1.

3. How can I use the GCD of 208, 966, 709, 634Calculator?

Out the numbers 208, 966, 709, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.