GCD of 752, 460, 736, 448 Calculator

Given Input numbers are 752, 460, 736, 448

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (752, 460, 736, 448) = 4.

Given numbers are 752, 460, 736, 448

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2²

Therefore, GCD of 752, 460, 736, 448 is 4.

Given numbers are 752, 460, 736, 448

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

Apply this formula for all numbers.

Step1:

LCM(752, 460) = 86480

GCD(752, 460) = ( 752 x 460 ) / 86480

= 752 / 460

= 752

Step2:

LCM(4, 736) = 736

GCD(4, 736) = ( 4 x 736 ) / 736

= 4 / 736

= 4

Step3:

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

= 4 / 448

= 4

So, Greatest Common Divisor of 752, 460, 736, 448 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 483, 181, 658
• GCD of 264, 240, 266, 928
• GCD of 947, 219, 102, 711
• GCD of 960, 539, 704, 391
• GCD of 222, 537, 110, 794

Given numbers are 752, 460, 736, 448
The greatest common divisor of numbers 752, 460, 736, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 460, 736, 448 is 4.

1. What is the GCD of 752, 460, 736, 448?

GCD of given numbers 752, 460, 736, 448 is 4

2. How to calculate the greatest common divisor of 752, 460, 736, 448?

We can find the highest common divisor of 752, 460, 736, 448 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 752, 460, 736, 448 i.e 4.

3. How can I use the GCD of 752, 460, 736, 448Calculator?

Out the numbers 752, 460, 736, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.