GCD of 722, 194, 300, 691 Calculator

Given Input numbers are 722, 194, 300, 691

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

GCD of numbers is the greatest common divisor

So, the GCD (722, 194, 300, 691) = 1.

Given numbers are 722, 194, 300, 691

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 194 are 2 x 97

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 691 are 691

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

Given numbers are 722, 194, 300, 691

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

Apply this formula for all numbers.

Step1:

LCM(722, 194) = 70034

GCD(722, 194) = ( 722 x 194 ) / 70034

= 722 / 194

= 722

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

= 2 / 691

= 2

So, Greatest Common Divisor of 722, 194, 300, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 162, 780, 745
• GCD of 920, 706, 189, 253
• GCD of 916, 675, 907, 430
• GCD of 166, 169, 734, 261
• GCD of 491, 748, 975, 237

Given numbers are 722, 194, 300, 691
The greatest common divisor of numbers 722, 194, 300, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 194, 300, 691 is 1.

1. What is the GCD of 722, 194, 300, 691?

GCD of given numbers 722, 194, 300, 691 is 1

2. How to calculate the greatest common divisor of 722, 194, 300, 691?

We can find the highest common divisor of 722, 194, 300, 691 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 722, 194, 300, 691 i.e 1.

3. How can I use the GCD of 722, 194, 300, 691Calculator?

Out the numbers 722, 194, 300, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.