GCD of 723, 689, 220, 238 Calculator

Given Input numbers are 723, 689, 220, 238

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (723, 689, 220, 238) = 1.

Given numbers are 723, 689, 220, 238

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 689 are 13 x 53

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 238 are 2 x 7 x 17

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

Given numbers are 723, 689, 220, 238

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

Apply this formula for all numbers.

Step1:

LCM(723, 689) = 498147

GCD(723, 689) = ( 723 x 689 ) / 498147

= 723 / 689

= 723

Step2:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 723, 689, 220, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 430, 410, 368
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• GCD of 590, 536, 443, 388
• GCD of 364, 325, 780, 302
• GCD of 734, 772, 941, 933

Given numbers are 723, 689, 220, 238
The greatest common divisor of numbers 723, 689, 220, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 689, 220, 238 is 1.

1. What is the GCD of 723, 689, 220, 238?

GCD of given numbers 723, 689, 220, 238 is 1

2. How to calculate the greatest common divisor of 723, 689, 220, 238?

We can find the highest common divisor of 723, 689, 220, 238 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 723, 689, 220, 238 i.e 1.

3. How can I use the GCD of 723, 689, 220, 238Calculator?

Out the numbers 723, 689, 220, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.