GCD of 130, 814, 949, 742 Calculator

Given Input numbers are 130, 814, 949, 742

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 814 :

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

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

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (130, 814, 949, 742) = 1.

Given numbers are 130, 814, 949, 742

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 814 are 2 x 11 x 37

Prime factors of 949 are 13 x 73

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 130, 814, 949, 742

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

Apply this formula for all numbers.

Step1:

LCM(130, 814) = 52910

GCD(130, 814) = ( 130 x 814 ) / 52910

= 130 / 814

= 130

Step2:

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

= 2 / 949

= 2

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 130, 814, 949, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 234, 807, 556
• GCD of 584, 778, 375, 180
• GCD of 828, 832, 967, 358
• GCD of 998, 706, 243, 176
• GCD of 487, 880, 537, 270

Given numbers are 130, 814, 949, 742
The greatest common divisor of numbers 130, 814, 949, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 814, 949, 742 is 1.

1. What is the GCD of 130, 814, 949, 742?

GCD of given numbers 130, 814, 949, 742 is 1

2. How to calculate the greatest common divisor of 130, 814, 949, 742?

We can find the highest common divisor of 130, 814, 949, 742 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, 814, 949, 742 i.e 1.

3. How can I use the GCD of 130, 814, 949, 742Calculator?

Out the numbers 130, 814, 949, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.