GCD of 468, 274, 718, 998 Calculator

Given Input numbers are 468, 274, 718, 998

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (468, 274, 718, 998) = 2.

Given numbers are 468, 274, 718, 998

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 274 are 2 x 137

Prime factors of 718 are 2 x 359

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 468, 274, 718, 998 is 2.

Given numbers are 468, 274, 718, 998

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

Apply this formula for all numbers.

Step1:

LCM(468, 274) = 64116

GCD(468, 274) = ( 468 x 274 ) / 64116

= 468 / 274

= 468

Step2:

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

= 2 / 718

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 468, 274, 718, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 319, 114, 794
• GCD of 614, 967, 242, 501
• GCD of 275, 170, 997, 403
• GCD of 772, 911, 906, 133
• GCD of 941, 809, 499, 445

Given numbers are 468, 274, 718, 998
The greatest common divisor of numbers 468, 274, 718, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 274, 718, 998 is 2.

1. What is the GCD of 468, 274, 718, 998?

GCD of given numbers 468, 274, 718, 998 is 2

2. How to calculate the greatest common divisor of 468, 274, 718, 998?

We can find the highest common divisor of 468, 274, 718, 998 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 468, 274, 718, 998 i.e 2.

3. How can I use the GCD of 468, 274, 718, 998Calculator?

Out the numbers 468, 274, 718, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.