GCD of 492, 711, 516, 921 Calculator

Given Input numbers are 492, 711, 516, 921

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (492, 711, 516, 921) = 3.

Given numbers are 492, 711, 516, 921

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 711 are 3 x 3 x 79

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 921 are 3 x 307

The highest common occurrence is 3¹

Therefore, GCD of 492, 711, 516, 921 is 3.

Given numbers are 492, 711, 516, 921

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

Apply this formula for all numbers.

Step1:

LCM(492, 711) = 116604

GCD(492, 711) = ( 492 x 711 ) / 116604

= 492 / 711

= 492

Step2:

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

= 3 / 516

= 3

Step3:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3

So, Greatest Common Divisor of 492, 711, 516, 921 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 708, 542, 691
• GCD of 847, 457, 816, 585
• GCD of 652, 727, 671, 239
• GCD of 521, 355, 803, 367
• GCD of 482, 601, 929, 115

Given numbers are 492, 711, 516, 921
The greatest common divisor of numbers 492, 711, 516, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 711, 516, 921 is 3.

1. What is the GCD of 492, 711, 516, 921?

GCD of given numbers 492, 711, 516, 921 is 3

2. How to calculate the greatest common divisor of 492, 711, 516, 921?

We can find the highest common divisor of 492, 711, 516, 921 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 492, 711, 516, 921 i.e 3.

3. How can I use the GCD of 492, 711, 516, 921Calculator?

Out the numbers 492, 711, 516, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.