GCD of 432, 752, 305, 677 Calculator

Given Input numbers are 432, 752, 305, 677

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (432, 752, 305, 677) = 1.

Given numbers are 432, 752, 305, 677

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 305 are 5 x 61

Prime factors of 677 are 677

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 432, 752, 305, 677

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

Apply this formula for all numbers.

Step1:

LCM(432, 752) = 20304

GCD(432, 752) = ( 432 x 752 ) / 20304

= 432 / 752

= 432

Step2:

LCM(16, 305) = 4880

GCD(16, 305) = ( 16 x 305 ) / 4880

= 16 / 305

= 16

Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

So, Greatest Common Divisor of 432, 752, 305, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 843, 699, 961
• GCD of 720, 155, 917, 685
• GCD of 733, 221, 992, 311
• GCD of 133, 985, 588, 559
• GCD of 886, 292, 821, 261

Given numbers are 432, 752, 305, 677
The greatest common divisor of numbers 432, 752, 305, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 752, 305, 677 is 1.

1. What is the GCD of 432, 752, 305, 677?

GCD of given numbers 432, 752, 305, 677 is 1

2. How to calculate the greatest common divisor of 432, 752, 305, 677?

We can find the highest common divisor of 432, 752, 305, 677 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 432, 752, 305, 677 i.e 1.

3. How can I use the GCD of 432, 752, 305, 677Calculator?

Out the numbers 432, 752, 305, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.