GCD of 788, 258, 614, 688 Calculator

Given Input numbers are 788, 258, 614, 688

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

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 (788, 258, 614, 688) = 2.

Given numbers are 788, 258, 614, 688

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 258 are 2 x 3 x 43

Prime factors of 614 are 2 x 307

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

The highest common occurrence is 2¹

Therefore, GCD of 788, 258, 614, 688 is 2.

Given numbers are 788, 258, 614, 688

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

Apply this formula for all numbers.

Step1:

LCM(788, 258) = 101652

GCD(788, 258) = ( 788 x 258 ) / 101652

= 788 / 258

= 788

Step2:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

Step3:

LCM(2, 688) = 688

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

= 2 / 688

= 2

So, Greatest Common Divisor of 788, 258, 614, 688 is 2

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Given numbers are 788, 258, 614, 688
The greatest common divisor of numbers 788, 258, 614, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 258, 614, 688 is 2.

1. What is the GCD of 788, 258, 614, 688?

GCD of given numbers 788, 258, 614, 688 is 2

2. How to calculate the greatest common divisor of 788, 258, 614, 688?

We can find the highest common divisor of 788, 258, 614, 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 788, 258, 614, 688 i.e 2.

3. How can I use the GCD of 788, 258, 614, 688Calculator?

Out the numbers 788, 258, 614, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.