GCD of 170, 614, 704 Calculator

Given Input numbers are 170, 614, 704

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 614 :

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

1, 2, 307, 614

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (170, 614, 704) = 2.

Given numbers are 170, 614, 704

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 614 are 2 x 307

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 170, 614, 704 is 2.

Given numbers are 170, 614, 704

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

Apply this formula for all numbers.

Step1:

LCM(170, 614) = 52190

GCD(170, 614) = ( 170 x 614 ) / 52190

= 170 / 614

= 170

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 170, 614, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 486, 449
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• GCD of 271, 460, 923
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Given numbers are 170, 614, 704
The greatest common divisor of numbers 170, 614, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 614, 704 is 2.

1. What is the GCD of 170, 614, 704?

GCD of given numbers 170, 614, 704 is 2

2. How to calculate the greatest common divisor of 170, 614, 704?

We can find the highest common divisor of 170, 614, 704 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 170, 614, 704 i.e 2.

3. How can I use the GCD of 170, 614, 704Calculator?

Out the numbers 170, 614, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.