GCD of 492, 614, 349 Calculator

Given Input numbers are 492, 614, 349

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (492, 614, 349) = 1.

Given numbers are 492, 614, 349

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 614 are 2 x 307

Prime factors of 349 are 349

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

Given numbers are 492, 614, 349

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

Apply this formula for all numbers.

Step1:

LCM(492, 614) = 151044

GCD(492, 614) = ( 492 x 614 ) / 151044

= 492 / 614

= 492

Step2:

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

= 2 / 349

= 2

So, Greatest Common Divisor of 492, 614, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 148, 812
• GCD of 102, 980, 602
• GCD of 139, 812, 333
• GCD of 817, 669, 239
• GCD of 826, 222, 107

Given numbers are 492, 614, 349
The greatest common divisor of numbers 492, 614, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 614, 349 is 1.

1. What is the GCD of 492, 614, 349?

GCD of given numbers 492, 614, 349 is 1

2. How to calculate the greatest common divisor of 492, 614, 349?

We can find the highest common divisor of 492, 614, 349 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 492, 614, 349 i.e 1.

3. How can I use the GCD of 492, 614, 349Calculator?

Out the numbers 492, 614, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.