GCD of 718, 230, 272, 700 Calculator

Given Input numbers are 718, 230, 272, 700

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 (718, 230, 272, 700) = 2.

Given numbers are 718, 230, 272, 700

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 230 are 2 x 5 x 23

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 718, 230, 272, 700 is 2.

Given numbers are 718, 230, 272, 700

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

Apply this formula for all numbers.

Step1:

LCM(718, 230) = 82570

GCD(718, 230) = ( 718 x 230 ) / 82570

= 718 / 230

= 718

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 718, 230, 272, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 865, 479, 769
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Given numbers are 718, 230, 272, 700
The greatest common divisor of numbers 718, 230, 272, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 230, 272, 700 is 2.

1. What is the GCD of 718, 230, 272, 700?

GCD of given numbers 718, 230, 272, 700 is 2

2. How to calculate the greatest common divisor of 718, 230, 272, 700?

We can find the highest common divisor of 718, 230, 272, 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 718, 230, 272, 700 i.e 2.

3. How can I use the GCD of 718, 230, 272, 700Calculator?

Out the numbers 718, 230, 272, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.