GCD of 214, 782, 138, 790 Calculator

Given Input numbers are 214, 782, 138, 790

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

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 138 :

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

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

GCD of numbers is the greatest common divisor

So, the GCD (214, 782, 138, 790) = 2.

Given numbers are 214, 782, 138, 790

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 782 are 2 x 17 x 23

Prime factors of 138 are 2 x 3 x 23

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 2¹

Therefore, GCD of 214, 782, 138, 790 is 2.

Given numbers are 214, 782, 138, 790

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

Apply this formula for all numbers.

Step1:

LCM(214, 782) = 83674

GCD(214, 782) = ( 214 x 782 ) / 83674

= 214 / 782

= 214

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

So, Greatest Common Divisor of 214, 782, 138, 790 is 2

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Given numbers are 214, 782, 138, 790
The greatest common divisor of numbers 214, 782, 138, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 782, 138, 790 is 2.

1. What is the GCD of 214, 782, 138, 790?

GCD of given numbers 214, 782, 138, 790 is 2

2. How to calculate the greatest common divisor of 214, 782, 138, 790?

We can find the highest common divisor of 214, 782, 138, 790 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 214, 782, 138, 790 i.e 2.

3. How can I use the GCD of 214, 782, 138, 790Calculator?

Out the numbers 214, 782, 138, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.