GCD of 741, 156, 589, 130 Calculator

Given Input numbers are 741, 156, 589, 130

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (741, 156, 589, 130) = 1.

Given numbers are 741, 156, 589, 130

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 589 are 19 x 31

Prime factors of 130 are 2 x 5 x 13

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

Given numbers are 741, 156, 589, 130

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

Apply this formula for all numbers.

Step1:

LCM(741, 156) = 2964

GCD(741, 156) = ( 741 x 156 ) / 2964

= 741 / 156

= 741

Step2:

LCM(39, 589) = 22971

GCD(39, 589) = ( 39 x 589 ) / 22971

= 39 / 589

= 39

Step3:

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

= 1 / 130

= 1

So, Greatest Common Divisor of 741, 156, 589, 130 is 1

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Given numbers are 741, 156, 589, 130
The greatest common divisor of numbers 741, 156, 589, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 156, 589, 130 is 1.

1. What is the GCD of 741, 156, 589, 130?

GCD of given numbers 741, 156, 589, 130 is 1

2. How to calculate the greatest common divisor of 741, 156, 589, 130?

We can find the highest common divisor of 741, 156, 589, 130 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 741, 156, 589, 130 i.e 1.

3. How can I use the GCD of 741, 156, 589, 130Calculator?

Out the numbers 741, 156, 589, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.