GCD of 130, 148, 588, 743 Calculator

Given Input numbers are 130, 148, 588, 743

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

Divisors of 130 :

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

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (130, 148, 588, 743) = 1.

Given numbers are 130, 148, 588, 743

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 148 are 2 x 2 x 37

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 743 are 743

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

Given numbers are 130, 148, 588, 743

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

Apply this formula for all numbers.

Step1:

LCM(130, 148) = 9620

GCD(130, 148) = ( 130 x 148 ) / 9620

= 130 / 148

= 130

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

= 2 / 743

= 2

So, Greatest Common Divisor of 130, 148, 588, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 765, 174, 537
• GCD of 445, 322, 915, 746
• GCD of 317, 473, 239, 425
• GCD of 670, 731, 504, 818
• GCD of 286, 846, 724, 424

Given numbers are 130, 148, 588, 743
The greatest common divisor of numbers 130, 148, 588, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 148, 588, 743 is 1.

1. What is the GCD of 130, 148, 588, 743?

GCD of given numbers 130, 148, 588, 743 is 1

2. How to calculate the greatest common divisor of 130, 148, 588, 743?

We can find the highest common divisor of 130, 148, 588, 743 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 130, 148, 588, 743 i.e 1.

3. How can I use the GCD of 130, 148, 588, 743Calculator?

Out the numbers 130, 148, 588, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.