GCD of 471, 264, 693, 996 Calculator

Given Input numbers are 471, 264, 693, 996

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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 (471, 264, 693, 996) = 3.

Given numbers are 471, 264, 693, 996

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 693 are 3 x 3 x 7 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 471, 264, 693, 996 is 3.

Given numbers are 471, 264, 693, 996

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

Apply this formula for all numbers.

Step1:

LCM(471, 264) = 41448

GCD(471, 264) = ( 471 x 264 ) / 41448

= 471 / 264

= 471

Step2:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

Step3:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 471, 264, 693, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 996, 264, 933
• GCD of 575, 772, 251, 941
• GCD of 601, 333, 877, 357
• GCD of 187, 372, 850, 969
• GCD of 937, 493, 672, 932

Given numbers are 471, 264, 693, 996
The greatest common divisor of numbers 471, 264, 693, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 264, 693, 996 is 3.

1. What is the GCD of 471, 264, 693, 996?

GCD of given numbers 471, 264, 693, 996 is 3

2. How to calculate the greatest common divisor of 471, 264, 693, 996?

We can find the highest common divisor of 471, 264, 693, 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 471, 264, 693, 996 i.e 3.

3. How can I use the GCD of 471, 264, 693, 996Calculator?

Out the numbers 471, 264, 693, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.