GCD of 658, 138, 638, 208 Calculator

Given Input numbers are 658, 138, 638, 208

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (658, 138, 638, 208) = 2.

Given numbers are 658, 138, 638, 208

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 138 are 2 x 3 x 23

Prime factors of 638 are 2 x 11 x 29

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 658, 138, 638, 208 is 2.

Given numbers are 658, 138, 638, 208

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

Apply this formula for all numbers.

Step1:

LCM(658, 138) = 45402

GCD(658, 138) = ( 658 x 138 ) / 45402

= 658 / 138

= 658

Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 658, 138, 638, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 891, 208, 523
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Given numbers are 658, 138, 638, 208
The greatest common divisor of numbers 658, 138, 638, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 138, 638, 208 is 2.

1. What is the GCD of 658, 138, 638, 208?

GCD of given numbers 658, 138, 638, 208 is 2

2. How to calculate the greatest common divisor of 658, 138, 638, 208?

We can find the highest common divisor of 658, 138, 638, 208 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, 138, 638, 208 i.e 2.

3. How can I use the GCD of 658, 138, 638, 208Calculator?

Out the numbers 658, 138, 638, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.