GCD of 720, 945, 153, 567 Calculator

Given Input numbers are 720, 945, 153, 567

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 153 :

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

1, 3, 9, 17, 51, 153

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (720, 945, 153, 567) = 9.

Given numbers are 720, 945, 153, 567

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 153 are 3 x 3 x 17

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

The highest common occurrence is 3²

Therefore, GCD of 720, 945, 153, 567 is 9.

Given numbers are 720, 945, 153, 567

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

Apply this formula for all numbers.

Step1:

LCM(720, 945) = 15120

GCD(720, 945) = ( 720 x 945 ) / 15120

= 720 / 945

= 720

Step2:

LCM(45, 153) = 765

GCD(45, 153) = ( 45 x 153 ) / 765

= 45 / 153

= 45

Step3:

LCM(9, 567) = 567

GCD(9, 567) = ( 9 x 567 ) / 567

= 9 / 567

= 9

So, Greatest Common Divisor of 720, 945, 153, 567 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 809, 866, 367
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• GCD of 685, 101, 113, 633
• GCD of 527, 793, 996, 748
• GCD of 297, 209, 689, 518

Given numbers are 720, 945, 153, 567
The greatest common divisor of numbers 720, 945, 153, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 945, 153, 567 is 9.

1. What is the GCD of 720, 945, 153, 567?

GCD of given numbers 720, 945, 153, 567 is 9

2. How to calculate the greatest common divisor of 720, 945, 153, 567?

We can find the highest common divisor of 720, 945, 153, 567 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 720, 945, 153, 567 i.e 9.

3. How can I use the GCD of 720, 945, 153, 567Calculator?

Out the numbers 720, 945, 153, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.