GCD of 243, 317, 678, 700 Calculator

Given Input numbers are 243, 317, 678, 700

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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

GCD of numbers is the greatest common divisor

So, the GCD (243, 317, 678, 700) = 1.

Given numbers are 243, 317, 678, 700

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 317 are 317

Prime factors of 678 are 2 x 3 x 113

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

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

Given numbers are 243, 317, 678, 700

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

Apply this formula for all numbers.

Step1:

LCM(243, 317) = 77031

GCD(243, 317) = ( 243 x 317 ) / 77031

= 243 / 317

= 243

Step2:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

Step3:

LCM(1, 700) = 700

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

= 1 / 700

= 1

So, Greatest Common Divisor of 243, 317, 678, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 919, 761, 634
• GCD of 456, 990, 200, 500
• GCD of 178, 505, 596, 536
• GCD of 789, 666, 593, 776
• GCD of 422, 970, 443, 766

Given numbers are 243, 317, 678, 700
The greatest common divisor of numbers 243, 317, 678, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 317, 678, 700 is 1.

1. What is the GCD of 243, 317, 678, 700?

GCD of given numbers 243, 317, 678, 700 is 1

2. How to calculate the greatest common divisor of 243, 317, 678, 700?

We can find the highest common divisor of 243, 317, 678, 700 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 243, 317, 678, 700 i.e 1.

3. How can I use the GCD of 243, 317, 678, 700Calculator?

Out the numbers 243, 317, 678, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.