GCD of 488, 454, 976, 524 Calculator

Given Input numbers are 488, 454, 976, 524

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (488, 454, 976, 524) = 2.

Given numbers are 488, 454, 976, 524

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 454 are 2 x 227

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 488, 454, 976, 524 is 2.

Given numbers are 488, 454, 976, 524

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

Apply this formula for all numbers.

Step1:

LCM(488, 454) = 110776

GCD(488, 454) = ( 488 x 454 ) / 110776

= 488 / 454

= 488

Step2:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 488, 454, 976, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 665, 379, 930
• GCD of 236, 527, 884, 579
• GCD of 828, 517, 404, 790
• GCD of 972, 547, 334, 809
• GCD of 905, 246, 888, 765

Given numbers are 488, 454, 976, 524
The greatest common divisor of numbers 488, 454, 976, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 454, 976, 524 is 2.

1. What is the GCD of 488, 454, 976, 524?

GCD of given numbers 488, 454, 976, 524 is 2

2. How to calculate the greatest common divisor of 488, 454, 976, 524?

We can find the highest common divisor of 488, 454, 976, 524 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 488, 454, 976, 524 i.e 2.

3. How can I use the GCD of 488, 454, 976, 524Calculator?

Out the numbers 488, 454, 976, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.