GCD of 688, 214, 134, 462 Calculator

Given Input numbers are 688, 214, 134, 462

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

Divisors of 688 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (688, 214, 134, 462) = 2.

Given numbers are 688, 214, 134, 462

The list of prime factors of all numbers are

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

Prime factors of 214 are 2 x 107

Prime factors of 134 are 2 x 67

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 688, 214, 134, 462 is 2.

Given numbers are 688, 214, 134, 462

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

Apply this formula for all numbers.

Step1:

LCM(688, 214) = 73616

GCD(688, 214) = ( 688 x 214 ) / 73616

= 688 / 214

= 688

Step2:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 688, 214, 134, 462 is 2

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• GCD of 338, 628, 901, 905
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Given numbers are 688, 214, 134, 462
The greatest common divisor of numbers 688, 214, 134, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 214, 134, 462 is 2.

1. What is the GCD of 688, 214, 134, 462?

GCD of given numbers 688, 214, 134, 462 is 2

2. How to calculate the greatest common divisor of 688, 214, 134, 462?

We can find the highest common divisor of 688, 214, 134, 462 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 688, 214, 134, 462 i.e 2.

3. How can I use the GCD of 688, 214, 134, 462Calculator?

Out the numbers 688, 214, 134, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.