GCD of 505, 289, 996, 972 Calculator

Given Input numbers are 505, 289, 996, 972

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (505, 289, 996, 972) = 1.

Given numbers are 505, 289, 996, 972

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 289 are 17 x 17

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 505, 289, 996, 972

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

Apply this formula for all numbers.

Step1:

LCM(505, 289) = 145945

GCD(505, 289) = ( 505 x 289 ) / 145945

= 505 / 289

= 505

Step2:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 505, 289, 996, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 728, 107, 176
• GCD of 525, 172, 397, 557
• GCD of 559, 966, 353, 103
• GCD of 578, 740, 917, 165
• GCD of 575, 831, 643, 486

Given numbers are 505, 289, 996, 972
The greatest common divisor of numbers 505, 289, 996, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 289, 996, 972 is 1.

1. What is the GCD of 505, 289, 996, 972?

GCD of given numbers 505, 289, 996, 972 is 1

2. How to calculate the greatest common divisor of 505, 289, 996, 972?

We can find the highest common divisor of 505, 289, 996, 972 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, 289, 996, 972 i.e 1.

3. How can I use the GCD of 505, 289, 996, 972Calculator?

Out the numbers 505, 289, 996, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.