GCD of 494, 429, 655, 714 Calculator

Given Input numbers are 494, 429, 655, 714

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (494, 429, 655, 714) = 1.

Given numbers are 494, 429, 655, 714

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 429 are 3 x 11 x 13

Prime factors of 655 are 5 x 131

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 494, 429, 655, 714

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

Apply this formula for all numbers.

Step1:

LCM(494, 429) = 16302

GCD(494, 429) = ( 494 x 429 ) / 16302

= 494 / 429

= 494

Step2:

LCM(13, 655) = 8515

GCD(13, 655) = ( 13 x 655 ) / 8515

= 13 / 655

= 13

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 494, 429, 655, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 937, 512, 751
• GCD of 361, 435, 294, 557
• GCD of 482, 226, 789, 273
• GCD of 329, 270, 744, 142
• GCD of 396, 595, 540, 168

Given numbers are 494, 429, 655, 714
The greatest common divisor of numbers 494, 429, 655, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 429, 655, 714 is 1.

1. What is the GCD of 494, 429, 655, 714?

GCD of given numbers 494, 429, 655, 714 is 1

2. How to calculate the greatest common divisor of 494, 429, 655, 714?

We can find the highest common divisor of 494, 429, 655, 714 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, 429, 655, 714 i.e 1.

3. How can I use the GCD of 494, 429, 655, 714Calculator?

Out the numbers 494, 429, 655, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.