GCD of 789, 145, 240, 755 Calculator

Given Input numbers are 789, 145, 240, 755

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

GCD of numbers is the greatest common divisor

So, the GCD (789, 145, 240, 755) = 1.

Given numbers are 789, 145, 240, 755

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 145 are 5 x 29

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 755 are 5 x 151

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

Given numbers are 789, 145, 240, 755

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

Apply this formula for all numbers.

Step1:

LCM(789, 145) = 114405

GCD(789, 145) = ( 789 x 145 ) / 114405

= 789 / 145

= 789

Step2:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

Step3:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1

So, Greatest Common Divisor of 789, 145, 240, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 315, 892, 955
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Given numbers are 789, 145, 240, 755
The greatest common divisor of numbers 789, 145, 240, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 145, 240, 755 is 1.

1. What is the GCD of 789, 145, 240, 755?

GCD of given numbers 789, 145, 240, 755 is 1

2. How to calculate the greatest common divisor of 789, 145, 240, 755?

We can find the highest common divisor of 789, 145, 240, 755 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 789, 145, 240, 755 i.e 1.

3. How can I use the GCD of 789, 145, 240, 755Calculator?

Out the numbers 789, 145, 240, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.