GCD of 109, 709, 720, 642 Calculator

Given Input numbers are 109, 709, 720, 642

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

Divisors of 109 :

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

1, 109

Divisors of 709 :

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

1, 709

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 642 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (109, 709, 720, 642) = 1.

Given numbers are 109, 709, 720, 642

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 709 are 709

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 642 are 2 x 3 x 107

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

Given numbers are 109, 709, 720, 642

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

Apply this formula for all numbers.

Step1:

LCM(109, 709) = 77281

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

= 109 / 709

= 109

Step2:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

Step3:

LCM(1, 642) = 642

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

= 1 / 642

= 1

So, Greatest Common Divisor of 109, 709, 720, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 440, 985, 444
• GCD of 840, 734, 404, 653
• GCD of 840, 106, 287, 383
• GCD of 925, 487, 592, 831
• GCD of 750, 553, 144, 433

Given numbers are 109, 709, 720, 642
The greatest common divisor of numbers 109, 709, 720, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 709, 720, 642 is 1.

1. What is the GCD of 109, 709, 720, 642?

GCD of given numbers 109, 709, 720, 642 is 1

2. How to calculate the greatest common divisor of 109, 709, 720, 642?

We can find the highest common divisor of 109, 709, 720, 642 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 109, 709, 720, 642 i.e 1.

3. How can I use the GCD of 109, 709, 720, 642Calculator?

Out the numbers 109, 709, 720, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.