GCD of 488, 512, 974, 748 Calculator

Given Input numbers are 488, 512, 974, 748

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 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (488, 512, 974, 748) = 2.

Given numbers are 488, 512, 974, 748

The list of prime factors of all numbers are

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

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 974 are 2 x 487

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 488, 512, 974, 748 is 2.

Given numbers are 488, 512, 974, 748

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

Apply this formula for all numbers.

Step1:

LCM(488, 512) = 31232

GCD(488, 512) = ( 488 x 512 ) / 31232

= 488 / 512

= 488

Step2:

LCM(8, 974) = 3896

GCD(8, 974) = ( 8 x 974 ) / 3896

= 8 / 974

= 8

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 488, 512, 974, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 854, 429, 417
• GCD of 243, 415, 213, 793
• GCD of 760, 577, 690, 902
• GCD of 481, 284, 143, 904
• GCD of 911, 836, 520, 367

Given numbers are 488, 512, 974, 748
The greatest common divisor of numbers 488, 512, 974, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 512, 974, 748 is 2.

1. What is the GCD of 488, 512, 974, 748?

GCD of given numbers 488, 512, 974, 748 is 2

2. How to calculate the greatest common divisor of 488, 512, 974, 748?

We can find the highest common divisor of 488, 512, 974, 748 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, 512, 974, 748 i.e 2.

3. How can I use the GCD of 488, 512, 974, 748Calculator?

Out the numbers 488, 512, 974, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.