GCD of 720, 271, 85, 109 Calculator

Given Input numbers are 720, 271, 85, 109

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

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 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

Divisors of 109 :

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

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (720, 271, 85, 109) = 1.

Given numbers are 720, 271, 85, 109

The list of prime factors of all numbers are

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

Prime factors of 271 are 271

Prime factors of 85 are 5 x 17

Prime factors of 109 are 109

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

Given numbers are 720, 271, 85, 109

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

Apply this formula for all numbers.

Step1:

LCM(720, 271) = 195120

GCD(720, 271) = ( 720 x 271 ) / 195120

= 720 / 271

= 720

Step2:

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

= 1 / 85

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 720, 271, 85, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 517, 36, 415
• GCD of 949, 487, 98, 196
• GCD of 966, 823, 22, 785
• GCD of 234, 967, 67, 574
• GCD of 371, 756, 46, 356

Given numbers are 720, 271, 85, 109
The greatest common divisor of numbers 720, 271, 85, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 271, 85, 109 is 1.

1. What is the GCD of 720, 271, 85, 109?

GCD of given numbers 720, 271, 85, 109 is 1

2. How to calculate the greatest common divisor of 720, 271, 85, 109?

We can find the highest common divisor of 720, 271, 85, 109 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 720, 271, 85, 109 i.e 1.

3. How can I use the GCD of 720, 271, 85, 109Calculator?

Out the numbers 720, 271, 85, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.