GCD of 705, 723, 207, 153 Calculator

Given Input numbers are 705, 723, 207, 153

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (705, 723, 207, 153) = 3.

Given numbers are 705, 723, 207, 153

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 723 are 3 x 241

Prime factors of 207 are 3 x 3 x 23

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 705, 723, 207, 153 is 3.

Given numbers are 705, 723, 207, 153

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

Apply this formula for all numbers.

Step1:

LCM(705, 723) = 169905

GCD(705, 723) = ( 705 x 723 ) / 169905

= 705 / 723

= 705

Step2:

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

= 3 / 207

= 3

Step3:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3

So, Greatest Common Divisor of 705, 723, 207, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 244, 610, 527
• GCD of 160, 673, 329, 298
• GCD of 137, 421, 849, 481
• GCD of 568, 883, 380, 240
• GCD of 759, 677, 406, 930

Given numbers are 705, 723, 207, 153
The greatest common divisor of numbers 705, 723, 207, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 723, 207, 153 is 3.

1. What is the GCD of 705, 723, 207, 153?

GCD of given numbers 705, 723, 207, 153 is 3

2. How to calculate the greatest common divisor of 705, 723, 207, 153?

We can find the highest common divisor of 705, 723, 207, 153 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 705, 723, 207, 153 i.e 3.

3. How can I use the GCD of 705, 723, 207, 153Calculator?

Out the numbers 705, 723, 207, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.