GCD of 170, 699, 704, 340 Calculator

Given Input numbers are 170, 699, 704, 340

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 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (170, 699, 704, 340) = 1.

Given numbers are 170, 699, 704, 340

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 699 are 3 x 233

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

Prime factors of 340 are 2 x 2 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 170, 699, 704, 340

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

Apply this formula for all numbers.

Step1:

LCM(170, 699) = 118830

GCD(170, 699) = ( 170 x 699 ) / 118830

= 170 / 699

= 170

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

So, Greatest Common Divisor of 170, 699, 704, 340 is 1

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Given numbers are 170, 699, 704, 340
The greatest common divisor of numbers 170, 699, 704, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 699, 704, 340 is 1.

1. What is the GCD of 170, 699, 704, 340?

GCD of given numbers 170, 699, 704, 340 is 1

2. How to calculate the greatest common divisor of 170, 699, 704, 340?

We can find the highest common divisor of 170, 699, 704, 340 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, 699, 704, 340 i.e 1.

3. How can I use the GCD of 170, 699, 704, 340Calculator?

Out the numbers 170, 699, 704, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.