GCD of 171, 699, 748, 200 Calculator

Given Input numbers are 171, 699, 748, 200

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 699 :

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

1, 3, 233, 699

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (171, 699, 748, 200) = 1.

Given numbers are 171, 699, 748, 200

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 699 are 3 x 233

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Given numbers are 171, 699, 748, 200

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

Apply this formula for all numbers.

Step1:

LCM(171, 699) = 39843

GCD(171, 699) = ( 171 x 699 ) / 39843

= 171 / 699

= 171

Step2:

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

= 3 / 748

= 3

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 171, 699, 748, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 366, 919, 659
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Given numbers are 171, 699, 748, 200
The greatest common divisor of numbers 171, 699, 748, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 699, 748, 200 is 1.

1. What is the GCD of 171, 699, 748, 200?

GCD of given numbers 171, 699, 748, 200 is 1

2. How to calculate the greatest common divisor of 171, 699, 748, 200?

We can find the highest common divisor of 171, 699, 748, 200 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 171, 699, 748, 200 i.e 1.

3. How can I use the GCD of 171, 699, 748, 200Calculator?

Out the numbers 171, 699, 748, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.