GCD of 494, 109, 694, 704 Calculator

Given Input numbers are 494, 109, 694, 704

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

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

GCD of numbers is the greatest common divisor

So, the GCD (494, 109, 694, 704) = 1.

Given numbers are 494, 109, 694, 704

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 109 are 109

Prime factors of 694 are 2 x 347

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

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

Given numbers are 494, 109, 694, 704

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

Apply this formula for all numbers.

Step1:

LCM(494, 109) = 53846

GCD(494, 109) = ( 494 x 109 ) / 53846

= 494 / 109

= 494

Step2:

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

= 1 / 694

= 1

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 494, 109, 694, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 502, 358, 151
• GCD of 530, 644, 174, 560
• GCD of 528, 550, 149, 741
• GCD of 469, 746, 884, 820
• GCD of 235, 526, 769, 605

Given numbers are 494, 109, 694, 704
The greatest common divisor of numbers 494, 109, 694, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 109, 694, 704 is 1.

1. What is the GCD of 494, 109, 694, 704?

GCD of given numbers 494, 109, 694, 704 is 1

2. How to calculate the greatest common divisor of 494, 109, 694, 704?

We can find the highest common divisor of 494, 109, 694, 704 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 494, 109, 694, 704 i.e 1.

3. How can I use the GCD of 494, 109, 694, 704Calculator?

Out the numbers 494, 109, 694, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.