GCD of 748, 460, 768, 424 Calculator

Given Input numbers are 748, 460, 768, 424

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

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (748, 460, 768, 424) = 4.

Given numbers are 748, 460, 768, 424

The list of prime factors of all numbers are

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

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2²

Therefore, GCD of 748, 460, 768, 424 is 4.

Given numbers are 748, 460, 768, 424

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

Apply this formula for all numbers.

Step1:

LCM(748, 460) = 86020

GCD(748, 460) = ( 748 x 460 ) / 86020

= 748 / 460

= 748

Step2:

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

= 4 / 768

= 4

Step3:

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

= 4 / 424

= 4

So, Greatest Common Divisor of 748, 460, 768, 424 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 225, 151, 337
• GCD of 850, 513, 545, 300
• GCD of 161, 537, 988, 240
• GCD of 872, 283, 647, 270
• GCD of 752, 310, 837, 525

Given numbers are 748, 460, 768, 424
The greatest common divisor of numbers 748, 460, 768, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 460, 768, 424 is 4.

1. What is the GCD of 748, 460, 768, 424?

GCD of given numbers 748, 460, 768, 424 is 4

2. How to calculate the greatest common divisor of 748, 460, 768, 424?

We can find the highest common divisor of 748, 460, 768, 424 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 748, 460, 768, 424 i.e 4.

3. How can I use the GCD of 748, 460, 768, 424Calculator?

Out the numbers 748, 460, 768, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.