GCD of 498, 326, 767, 109 Calculator

Given Input numbers are 498, 326, 767, 109

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 109 :

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

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (498, 326, 767, 109) = 1.

Given numbers are 498, 326, 767, 109

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 326 are 2 x 163

Prime factors of 767 are 13 x 59

Prime factors of 109 are 109

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

Given numbers are 498, 326, 767, 109

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

Apply this formula for all numbers.

Step1:

LCM(498, 326) = 81174

GCD(498, 326) = ( 498 x 326 ) / 81174

= 498 / 326

= 498

Step2:

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

= 2 / 767

= 2

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 498, 326, 767, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 986, 486, 653
• GCD of 461, 818, 149, 228
• GCD of 519, 355, 473, 664
• GCD of 592, 755, 911, 148
• GCD of 737, 606, 476, 577

Given numbers are 498, 326, 767, 109
The greatest common divisor of numbers 498, 326, 767, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 326, 767, 109 is 1.

1. What is the GCD of 498, 326, 767, 109?

GCD of given numbers 498, 326, 767, 109 is 1

2. How to calculate the greatest common divisor of 498, 326, 767, 109?

We can find the highest common divisor of 498, 326, 767, 109 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 498, 326, 767, 109 i.e 1.

3. How can I use the GCD of 498, 326, 767, 109Calculator?

Out the numbers 498, 326, 767, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.