GCD of 461, 501, 972, 996 Calculator

Given Input numbers are 461, 501, 972, 996

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

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

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

GCD of numbers is the greatest common divisor

So, the GCD (461, 501, 972, 996) = 1.

Given numbers are 461, 501, 972, 996

The list of prime factors of all numbers are

Prime factors of 461 are 461

Prime factors of 501 are 3 x 167

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

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

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

Given numbers are 461, 501, 972, 996

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

Apply this formula for all numbers.

Step1:

LCM(461, 501) = 230961

GCD(461, 501) = ( 461 x 501 ) / 230961

= 461 / 501

= 461

Step2:

LCM(1, 972) = 972

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

= 1 / 972

= 1

Step3:

LCM(1, 996) = 996

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

= 1 / 996

= 1

So, Greatest Common Divisor of 461, 501, 972, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 208, 826, 505
• GCD of 828, 483, 590, 637
• GCD of 830, 699, 526, 438
• GCD of 886, 675, 870, 153
• GCD of 412, 846, 491, 295

Given numbers are 461, 501, 972, 996
The greatest common divisor of numbers 461, 501, 972, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 501, 972, 996 is 1.

1. What is the GCD of 461, 501, 972, 996?

GCD of given numbers 461, 501, 972, 996 is 1

2. How to calculate the greatest common divisor of 461, 501, 972, 996?

We can find the highest common divisor of 461, 501, 972, 996 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 461, 501, 972, 996 i.e 1.

3. How can I use the GCD of 461, 501, 972, 996Calculator?

Out the numbers 461, 501, 972, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.