GCD of 682, 424, 658, 334 Calculator

Given Input numbers are 682, 424, 658, 334

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

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 (682, 424, 658, 334) = 2.

Given numbers are 682, 424, 658, 334

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 658 are 2 x 7 x 47

Prime factors of 334 are 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 682, 424, 658, 334 is 2.

Given numbers are 682, 424, 658, 334

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

Apply this formula for all numbers.

Step1:

LCM(682, 424) = 144584

GCD(682, 424) = ( 682 x 424 ) / 144584

= 682 / 424

= 682

Step2:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

Step3:

LCM(2, 334) = 334

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

= 2 / 334

= 2

So, Greatest Common Divisor of 682, 424, 658, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 742, 653, 364
• GCD of 800, 523, 263, 414
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• GCD of 490, 432, 620, 680

Given numbers are 682, 424, 658, 334
The greatest common divisor of numbers 682, 424, 658, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 424, 658, 334 is 2.

1. What is the GCD of 682, 424, 658, 334?

GCD of given numbers 682, 424, 658, 334 is 2

2. How to calculate the greatest common divisor of 682, 424, 658, 334?

We can find the highest common divisor of 682, 424, 658, 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 682, 424, 658, 334 i.e 2.

3. How can I use the GCD of 682, 424, 658, 334Calculator?

Out the numbers 682, 424, 658, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.