GCD of 658, 838, 634, 442 Calculator

Given Input numbers are 658, 838, 634, 442

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

Divisors of 658 :

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

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (658, 838, 634, 442) = 2.

Given numbers are 658, 838, 634, 442

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 838 are 2 x 419

Prime factors of 634 are 2 x 317

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 658, 838, 634, 442 is 2.

Given numbers are 658, 838, 634, 442

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

Apply this formula for all numbers.

Step1:

LCM(658, 838) = 275702

GCD(658, 838) = ( 658 x 838 ) / 275702

= 658 / 838

= 658

Step2:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 658, 838, 634, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 744, 307, 647
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Given numbers are 658, 838, 634, 442
The greatest common divisor of numbers 658, 838, 634, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 838, 634, 442 is 2.

1. What is the GCD of 658, 838, 634, 442?

GCD of given numbers 658, 838, 634, 442 is 2

2. How to calculate the greatest common divisor of 658, 838, 634, 442?

We can find the highest common divisor of 658, 838, 634, 442 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 658, 838, 634, 442 i.e 2.

3. How can I use the GCD of 658, 838, 634, 442Calculator?

Out the numbers 658, 838, 634, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.