GCD of 492, 308, 523, 898 Calculator

Given Input numbers are 492, 308, 523, 898

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (492, 308, 523, 898) = 1.

Given numbers are 492, 308, 523, 898

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 523 are 523

Prime factors of 898 are 2 x 449

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

Given numbers are 492, 308, 523, 898

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

Apply this formula for all numbers.

Step1:

LCM(492, 308) = 37884

GCD(492, 308) = ( 492 x 308 ) / 37884

= 492 / 308

= 492

Step2:

LCM(4, 523) = 2092

GCD(4, 523) = ( 4 x 523 ) / 2092

= 4 / 523

= 4

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 492, 308, 523, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 163, 955, 676
• GCD of 667, 620, 562, 777
• GCD of 348, 309, 973, 729
• GCD of 170, 789, 673, 313
• GCD of 459, 491, 262, 714

Given numbers are 492, 308, 523, 898
The greatest common divisor of numbers 492, 308, 523, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 308, 523, 898 is 1.

1. What is the GCD of 492, 308, 523, 898?

GCD of given numbers 492, 308, 523, 898 is 1

2. How to calculate the greatest common divisor of 492, 308, 523, 898?

We can find the highest common divisor of 492, 308, 523, 898 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, 308, 523, 898 i.e 1.

3. How can I use the GCD of 492, 308, 523, 898Calculator?

Out the numbers 492, 308, 523, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.