GCD of 582, 375, 138, 759 Calculator

Given Input numbers are 582, 375, 138, 759

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

GCD of numbers is the greatest common divisor

So, the GCD (582, 375, 138, 759) = 3.

Given numbers are 582, 375, 138, 759

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 759 are 3 x 11 x 23

The highest common occurrence is 3¹

Therefore, GCD of 582, 375, 138, 759 is 3.

Given numbers are 582, 375, 138, 759

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

Apply this formula for all numbers.

Step1:

LCM(582, 375) = 72750

GCD(582, 375) = ( 582 x 375 ) / 72750

= 582 / 375

= 582

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

= 3 / 759

= 3

So, Greatest Common Divisor of 582, 375, 138, 759 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 575, 463, 378
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Given numbers are 582, 375, 138, 759
The greatest common divisor of numbers 582, 375, 138, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 375, 138, 759 is 3.

1. What is the GCD of 582, 375, 138, 759?

GCD of given numbers 582, 375, 138, 759 is 3

2. How to calculate the greatest common divisor of 582, 375, 138, 759?

We can find the highest common divisor of 582, 375, 138, 759 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 582, 375, 138, 759 i.e 3.

3. How can I use the GCD of 582, 375, 138, 759Calculator?

Out the numbers 582, 375, 138, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.