GCD of 209, 677, 700, 214 Calculator

Given Input numbers are 209, 677, 700, 214

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (209, 677, 700, 214) = 1.

Given numbers are 209, 677, 700, 214

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 677 are 677

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 214 are 2 x 107

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

Given numbers are 209, 677, 700, 214

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

Apply this formula for all numbers.

Step1:

LCM(209, 677) = 141493

GCD(209, 677) = ( 209 x 677 ) / 141493

= 209 / 677

= 209

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 209, 677, 700, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 365, 864, 417
• GCD of 585, 194, 610, 151
• GCD of 950, 263, 584, 646
• GCD of 762, 208, 404, 150
• GCD of 214, 332, 808, 514

Given numbers are 209, 677, 700, 214
The greatest common divisor of numbers 209, 677, 700, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 677, 700, 214 is 1.

1. What is the GCD of 209, 677, 700, 214?

GCD of given numbers 209, 677, 700, 214 is 1

2. How to calculate the greatest common divisor of 209, 677, 700, 214?

We can find the highest common divisor of 209, 677, 700, 214 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 209, 677, 700, 214 i.e 1.

3. How can I use the GCD of 209, 677, 700, 214Calculator?

Out the numbers 209, 677, 700, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.