GCD of 505, 916, 720, 643 Calculator

Given Input numbers are 505, 916, 720, 643

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

GCD of numbers is the greatest common divisor

So, the GCD (505, 916, 720, 643) = 1.

Given numbers are 505, 916, 720, 643

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 916 are 2 x 2 x 229

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

Prime factors of 643 are 643

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

Given numbers are 505, 916, 720, 643

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

Apply this formula for all numbers.

Step1:

LCM(505, 916) = 462580

GCD(505, 916) = ( 505 x 916 ) / 462580

= 505 / 916

= 505

Step2:

LCM(1, 720) = 720

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

= 1 / 720

= 1

Step3:

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

= 1 / 643

= 1

So, Greatest Common Divisor of 505, 916, 720, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 541, 246, 348
• GCD of 183, 533, 752, 896
• GCD of 637, 502, 867, 726
• GCD of 465, 399, 731, 978
• GCD of 324, 655, 749, 932

Given numbers are 505, 916, 720, 643
The greatest common divisor of numbers 505, 916, 720, 643 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 916, 720, 643 is 1.

1. What is the GCD of 505, 916, 720, 643?

GCD of given numbers 505, 916, 720, 643 is 1

2. How to calculate the greatest common divisor of 505, 916, 720, 643?

We can find the highest common divisor of 505, 916, 720, 643 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 505, 916, 720, 643 i.e 1.

3. How can I use the GCD of 505, 916, 720, 643Calculator?

Out the numbers 505, 916, 720, 643 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.