GCD of 498, 692, 334 Calculator

Given Input numbers are 498, 692, 334

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (498, 692, 334) = 2.

Given numbers are 498, 692, 334

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 692 are 2 x 2 x 173

Prime factors of 334 are 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 498, 692, 334 is 2.

Given numbers are 498, 692, 334

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

Apply this formula for all numbers.

Step1:

LCM(498, 692) = 172308

GCD(498, 692) = ( 498 x 692 ) / 172308

= 498 / 692

= 498

Step2:

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

= 2 / 334

= 2

So, Greatest Common Divisor of 498, 692, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 275, 774
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• GCD of 977, 615, 520
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Given numbers are 498, 692, 334
The greatest common divisor of numbers 498, 692, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 692, 334 is 2.

1. What is the GCD of 498, 692, 334?

GCD of given numbers 498, 692, 334 is 2

2. How to calculate the greatest common divisor of 498, 692, 334?

We can find the highest common divisor of 498, 692, 334 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, 692, 334 i.e 2.

3. How can I use the GCD of 498, 692, 334Calculator?

Out the numbers 498, 692, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.