GCD of 782, 646, 238 Calculator

Given Input numbers are 782, 646, 238

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

Divisors of 782 :

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

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

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (782, 646, 238) = 34.

Given numbers are 782, 646, 238

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 646 are 2 x 17 x 19

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 17¹ x 2¹

Therefore, GCD of 782, 646, 238 is 34.

Given numbers are 782, 646, 238

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

Apply this formula for all numbers.

Step1:

LCM(782, 646) = 14858

GCD(782, 646) = ( 782 x 646 ) / 14858

= 782 / 646

= 782

Step2:

LCM(34, 238) = 238

GCD(34, 238) = ( 34 x 238 ) / 238

= 34 / 238

= 34

So, Greatest Common Divisor of 782, 646, 238 is 34

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 661, 630
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Given numbers are 782, 646, 238
The greatest common divisor of numbers 782, 646, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 646, 238 is 34.

1. What is the GCD of 782, 646, 238?

GCD of given numbers 782, 646, 238 is 34

2. How to calculate the greatest common divisor of 782, 646, 238?

We can find the highest common divisor of 782, 646, 238 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 782, 646, 238 i.e 34.

3. How can I use the GCD of 782, 646, 238Calculator?

Out the numbers 782, 646, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.