GCD of 492, 898, 932, 982 Calculator

Given Input numbers are 492, 898, 932, 982

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 898 :

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

1, 2, 449, 898

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (492, 898, 932, 982) = 2.

Given numbers are 492, 898, 932, 982

The list of prime factors of all numbers are

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

Prime factors of 898 are 2 x 449

Prime factors of 932 are 2 x 2 x 233

Prime factors of 982 are 2 x 491

The highest common occurrence is 2¹

Therefore, GCD of 492, 898, 932, 982 is 2.

Given numbers are 492, 898, 932, 982

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

Apply this formula for all numbers.

Step1:

LCM(492, 898) = 220908

GCD(492, 898) = ( 492 x 898 ) / 220908

= 492 / 898

= 492

Step2:

LCM(2, 932) = 932

GCD(2, 932) = ( 2 x 932 ) / 932

= 2 / 932

= 2

Step3:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

So, Greatest Common Divisor of 492, 898, 932, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 396, 929, 497
• GCD of 366, 902, 555, 629
• GCD of 205, 625, 654, 695
• GCD of 493, 178, 494, 628
• GCD of 484, 690, 494, 799

Given numbers are 492, 898, 932, 982
The greatest common divisor of numbers 492, 898, 932, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 898, 932, 982 is 2.

1. What is the GCD of 492, 898, 932, 982?

GCD of given numbers 492, 898, 932, 982 is 2

2. How to calculate the greatest common divisor of 492, 898, 932, 982?

We can find the highest common divisor of 492, 898, 932, 982 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, 898, 932, 982 i.e 2.

3. How can I use the GCD of 492, 898, 932, 982Calculator?

Out the numbers 492, 898, 932, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.