GCD of 494, 361, 168, 705 Calculator

Given Input numbers are 494, 361, 168, 705

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (494, 361, 168, 705) = 1.

Given numbers are 494, 361, 168, 705

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 361 are 19 x 19

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 494, 361, 168, 705

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

Apply this formula for all numbers.

Step1:

LCM(494, 361) = 9386

GCD(494, 361) = ( 494 x 361 ) / 9386

= 494 / 361

= 494

Step2:

LCM(19, 168) = 3192

GCD(19, 168) = ( 19 x 168 ) / 3192

= 19 / 168

= 19

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 494, 361, 168, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 552, 947, 676
• GCD of 613, 168, 517, 592
• GCD of 594, 198, 920, 748
• GCD of 831, 114, 519, 574
• GCD of 734, 347, 661, 765

Given numbers are 494, 361, 168, 705
The greatest common divisor of numbers 494, 361, 168, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 361, 168, 705 is 1.

1. What is the GCD of 494, 361, 168, 705?

GCD of given numbers 494, 361, 168, 705 is 1

2. How to calculate the greatest common divisor of 494, 361, 168, 705?

We can find the highest common divisor of 494, 361, 168, 705 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, 361, 168, 705 i.e 1.

3. How can I use the GCD of 494, 361, 168, 705Calculator?

Out the numbers 494, 361, 168, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.