GCD of 742, 209, 793, 713 Calculator

Given Input numbers are 742, 209, 793, 713

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

Divisors of 742 :

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

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

GCD of numbers is the greatest common divisor

So, the GCD (742, 209, 793, 713) = 1.

Given numbers are 742, 209, 793, 713

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 209 are 11 x 19

Prime factors of 793 are 13 x 61

Prime factors of 713 are 23 x 31

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

Given numbers are 742, 209, 793, 713

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

Apply this formula for all numbers.

Step1:

LCM(742, 209) = 155078

GCD(742, 209) = ( 742 x 209 ) / 155078

= 742 / 209

= 742

Step2:

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

= 1 / 793

= 1

Step3:

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

= 1 / 713

= 1

So, Greatest Common Divisor of 742, 209, 793, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 693, 381, 536
• GCD of 365, 381, 332, 196
• GCD of 224, 184, 502, 432
• GCD of 241, 485, 303, 925
• GCD of 613, 398, 373, 924

Given numbers are 742, 209, 793, 713
The greatest common divisor of numbers 742, 209, 793, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 209, 793, 713 is 1.

1. What is the GCD of 742, 209, 793, 713?

GCD of given numbers 742, 209, 793, 713 is 1

2. How to calculate the greatest common divisor of 742, 209, 793, 713?

We can find the highest common divisor of 742, 209, 793, 713 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 742, 209, 793, 713 i.e 1.

3. How can I use the GCD of 742, 209, 793, 713Calculator?

Out the numbers 742, 209, 793, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.