GCD of 217, 307, 688, 420 Calculator

Given Input numbers are 217, 307, 688, 420

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (217, 307, 688, 420) = 1.

Given numbers are 217, 307, 688, 420

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 307 are 307

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 217, 307, 688, 420

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

Apply this formula for all numbers.

Step1:

LCM(217, 307) = 66619

GCD(217, 307) = ( 217 x 307 ) / 66619

= 217 / 307

= 217

Step2:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 217, 307, 688, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 232, 489, 386
• GCD of 566, 352, 381, 625
• GCD of 396, 824, 188, 347
• GCD of 106, 811, 381, 925
• GCD of 492, 535, 595, 743

Given numbers are 217, 307, 688, 420
The greatest common divisor of numbers 217, 307, 688, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 307, 688, 420 is 1.

1. What is the GCD of 217, 307, 688, 420?

GCD of given numbers 217, 307, 688, 420 is 1

2. How to calculate the greatest common divisor of 217, 307, 688, 420?

We can find the highest common divisor of 217, 307, 688, 420 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 217, 307, 688, 420 i.e 1.

3. How can I use the GCD of 217, 307, 688, 420Calculator?

Out the numbers 217, 307, 688, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.