GCD of 752, 132, 173, 687 Calculator

Given Input numbers are 752, 132, 173, 687

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 173 :

The positive integer divisors of 173 that completely divides 173 are.

1, 173

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (752, 132, 173, 687) = 1.

Given numbers are 752, 132, 173, 687

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 132 are 2 x 2 x 3 x 11

Prime factors of 173 are 173

Prime factors of 687 are 3 x 229

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

Given numbers are 752, 132, 173, 687

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

Apply this formula for all numbers.

Step1:

LCM(752, 132) = 24816

GCD(752, 132) = ( 752 x 132 ) / 24816

= 752 / 132

= 752

Step2:

LCM(4, 173) = 692

GCD(4, 173) = ( 4 x 173 ) / 692

= 4 / 173

= 4

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 752, 132, 173, 687 is 1

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Given numbers are 752, 132, 173, 687
The greatest common divisor of numbers 752, 132, 173, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 132, 173, 687 is 1.

1. What is the GCD of 752, 132, 173, 687?

GCD of given numbers 752, 132, 173, 687 is 1

2. How to calculate the greatest common divisor of 752, 132, 173, 687?

We can find the highest common divisor of 752, 132, 173, 687 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, 132, 173, 687 i.e 1.

3. How can I use the GCD of 752, 132, 173, 687Calculator?

Out the numbers 752, 132, 173, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.