GCD of 704, 722, 838, 185 Calculator

Given Input numbers are 704, 722, 838, 185

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

GCD of numbers is the greatest common divisor

So, the GCD (704, 722, 838, 185) = 1.

Given numbers are 704, 722, 838, 185

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 722 are 2 x 19 x 19

Prime factors of 838 are 2 x 419

Prime factors of 185 are 5 x 37

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

Given numbers are 704, 722, 838, 185

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

Apply this formula for all numbers.

Step1:

LCM(704, 722) = 254144

GCD(704, 722) = ( 704 x 722 ) / 254144

= 704 / 722

= 704

Step2:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

Step3:

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

= 2 / 185

= 2

So, Greatest Common Divisor of 704, 722, 838, 185 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 784, 716, 470
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Given numbers are 704, 722, 838, 185
The greatest common divisor of numbers 704, 722, 838, 185 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 722, 838, 185 is 1.

1. What is the GCD of 704, 722, 838, 185?

GCD of given numbers 704, 722, 838, 185 is 1

2. How to calculate the greatest common divisor of 704, 722, 838, 185?

We can find the highest common divisor of 704, 722, 838, 185 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 704, 722, 838, 185 i.e 1.

3. How can I use the GCD of 704, 722, 838, 185Calculator?

Out the numbers 704, 722, 838, 185 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.