GCD of 130, 964, 748, 723 Calculator

Given Input numbers are 130, 964, 748, 723

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 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (130, 964, 748, 723) = 1.

Given numbers are 130, 964, 748, 723

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 964 are 2 x 2 x 241

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 723 are 3 x 241

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

Given numbers are 130, 964, 748, 723

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

Apply this formula for all numbers.

Step1:

LCM(130, 964) = 62660

GCD(130, 964) = ( 130 x 964 ) / 62660

= 130 / 964

= 130

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

So, Greatest Common Divisor of 130, 964, 748, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 850, 158, 928
• GCD of 680, 258, 665, 374
• GCD of 580, 925, 643, 375
• GCD of 460, 591, 933, 121
• GCD of 852, 922, 324, 788

Given numbers are 130, 964, 748, 723
The greatest common divisor of numbers 130, 964, 748, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 964, 748, 723 is 1.

1. What is the GCD of 130, 964, 748, 723?

GCD of given numbers 130, 964, 748, 723 is 1

2. How to calculate the greatest common divisor of 130, 964, 748, 723?

We can find the highest common divisor of 130, 964, 748, 723 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, 964, 748, 723 i.e 1.

3. How can I use the GCD of 130, 964, 748, 723Calculator?

Out the numbers 130, 964, 748, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.