GCD of 766, 731, 689, 432 Calculator

Given Input numbers are 766, 731, 689, 432

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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

GCD of numbers is the greatest common divisor

So, the GCD (766, 731, 689, 432) = 1.

Given numbers are 766, 731, 689, 432

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 731 are 17 x 43

Prime factors of 689 are 13 x 53

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

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

Given numbers are 766, 731, 689, 432

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

Apply this formula for all numbers.

Step1:

LCM(766, 731) = 559946

GCD(766, 731) = ( 766 x 731 ) / 559946

= 766 / 731

= 766

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 766, 731, 689, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 924, 416, 141
• GCD of 231, 461, 224, 923
• GCD of 754, 752, 392, 423
• GCD of 885, 174, 550, 953
• GCD of 318, 559, 262, 235

Given numbers are 766, 731, 689, 432
The greatest common divisor of numbers 766, 731, 689, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 731, 689, 432 is 1.

1. What is the GCD of 766, 731, 689, 432?

GCD of given numbers 766, 731, 689, 432 is 1

2. How to calculate the greatest common divisor of 766, 731, 689, 432?

We can find the highest common divisor of 766, 731, 689, 432 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 766, 731, 689, 432 i.e 1.

3. How can I use the GCD of 766, 731, 689, 432Calculator?

Out the numbers 766, 731, 689, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.