GCD of 130, 742, 735, 814 Calculator

Given Input numbers are 130, 742, 735, 814

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (130, 742, 735, 814) = 1.

Given numbers are 130, 742, 735, 814

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 742 are 2 x 7 x 53

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 130, 742, 735, 814

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

Apply this formula for all numbers.

Step1:

LCM(130, 742) = 48230

GCD(130, 742) = ( 130 x 742 ) / 48230

= 130 / 742

= 130

Step2:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 130, 742, 735, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 829, 746, 546
• GCD of 238, 312, 250, 939
• GCD of 298, 251, 853, 916
• GCD of 141, 851, 770, 513
• GCD of 770, 432, 445, 954

Given numbers are 130, 742, 735, 814
The greatest common divisor of numbers 130, 742, 735, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 742, 735, 814 is 1.

1. What is the GCD of 130, 742, 735, 814?

GCD of given numbers 130, 742, 735, 814 is 1

2. How to calculate the greatest common divisor of 130, 742, 735, 814?

We can find the highest common divisor of 130, 742, 735, 814 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, 742, 735, 814 i.e 1.

3. How can I use the GCD of 130, 742, 735, 814Calculator?

Out the numbers 130, 742, 735, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.