GCD of 788, 274, 734, 108 Calculator

Given Input numbers are 788, 274, 734, 108

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (788, 274, 734, 108) = 2.

Given numbers are 788, 274, 734, 108

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 274 are 2 x 137

Prime factors of 734 are 2 x 367

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 788, 274, 734, 108 is 2.

Given numbers are 788, 274, 734, 108

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

Apply this formula for all numbers.

Step1:

LCM(788, 274) = 107956

GCD(788, 274) = ( 788 x 274 ) / 107956

= 788 / 274

= 788

Step2:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 788, 274, 734, 108 is 2

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• GCD of 853, 880, 890, 586
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Given numbers are 788, 274, 734, 108
The greatest common divisor of numbers 788, 274, 734, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 274, 734, 108 is 2.

1. What is the GCD of 788, 274, 734, 108?

GCD of given numbers 788, 274, 734, 108 is 2

2. How to calculate the greatest common divisor of 788, 274, 734, 108?

We can find the highest common divisor of 788, 274, 734, 108 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, 274, 734, 108 i.e 2.

3. How can I use the GCD of 788, 274, 734, 108Calculator?

Out the numbers 788, 274, 734, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.