GCD of 438, 758, 218, 688 Calculator

Given Input numbers are 438, 758, 218, 688

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (438, 758, 218, 688) = 2.

Given numbers are 438, 758, 218, 688

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 758 are 2 x 379

Prime factors of 218 are 2 x 109

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 438, 758, 218, 688 is 2.

Given numbers are 438, 758, 218, 688

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

Apply this formula for all numbers.

Step1:

LCM(438, 758) = 166002

GCD(438, 758) = ( 438 x 758 ) / 166002

= 438 / 758

= 438

Step2:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 438, 758, 218, 688 is 2

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Given numbers are 438, 758, 218, 688
The greatest common divisor of numbers 438, 758, 218, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 758, 218, 688 is 2.

1. What is the GCD of 438, 758, 218, 688?

GCD of given numbers 438, 758, 218, 688 is 2

2. How to calculate the greatest common divisor of 438, 758, 218, 688?

We can find the highest common divisor of 438, 758, 218, 688 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 438, 758, 218, 688 i.e 2.

3. How can I use the GCD of 438, 758, 218, 688Calculator?

Out the numbers 438, 758, 218, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.