GCD of 709, 109, 642, 656 Calculator

Given Input numbers are 709, 109, 642, 656

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

Divisors of 709 :

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

1, 709

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (709, 109, 642, 656) = 1.

Given numbers are 709, 109, 642, 656

The list of prime factors of all numbers are

Prime factors of 709 are 709

Prime factors of 109 are 109

Prime factors of 642 are 2 x 3 x 107

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Given numbers are 709, 109, 642, 656

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

Apply this formula for all numbers.

Step1:

LCM(709, 109) = 77281

GCD(709, 109) = ( 709 x 109 ) / 77281

= 709 / 109

= 709

Step2:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1

Step3:

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

= 1 / 656

= 1

So, Greatest Common Divisor of 709, 109, 642, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 698, 308, 669
• GCD of 712, 525, 891, 151
• GCD of 225, 179, 903, 364
• GCD of 128, 124, 338, 225
• GCD of 732, 191, 804, 487

Given numbers are 709, 109, 642, 656
The greatest common divisor of numbers 709, 109, 642, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 709, 109, 642, 656 is 1.

1. What is the GCD of 709, 109, 642, 656?

GCD of given numbers 709, 109, 642, 656 is 1

2. How to calculate the greatest common divisor of 709, 109, 642, 656?

We can find the highest common divisor of 709, 109, 642, 656 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 709, 109, 642, 656 i.e 1.

3. How can I use the GCD of 709, 109, 642, 656Calculator?

Out the numbers 709, 109, 642, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.