GCD of 498, 377, 314 Calculator

Given Input numbers are 498, 377, 314

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 377 :

The positive integer divisors of 377 that completely divides 377 are.

1, 13, 29, 377

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (498, 377, 314) = 1.

Given numbers are 498, 377, 314

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 377 are 13 x 29

Prime factors of 314 are 2 x 157

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

Given numbers are 498, 377, 314

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

Apply this formula for all numbers.

Step1:

LCM(498, 377) = 187746

GCD(498, 377) = ( 498 x 377 ) / 187746

= 498 / 377

= 498

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 498, 377, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 221, 303
• GCD of 551, 633, 639
• GCD of 657, 571, 956
• GCD of 597, 111, 345
• GCD of 421, 588, 593

Given numbers are 498, 377, 314
The greatest common divisor of numbers 498, 377, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 377, 314 is 1.

1. What is the GCD of 498, 377, 314?

GCD of given numbers 498, 377, 314 is 1

2. How to calculate the greatest common divisor of 498, 377, 314?

We can find the highest common divisor of 498, 377, 314 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, 377, 314 i.e 1.

3. How can I use the GCD of 498, 377, 314Calculator?

Out the numbers 498, 377, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.