GCD of 720, 945, 120, 783 Calculator

Given Input numbers are 720, 945, 120, 783

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

GCD of numbers is the greatest common divisor

So, the GCD (720, 945, 120, 783) = 3.

Given numbers are 720, 945, 120, 783

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 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 783 are 3 x 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 720, 945, 120, 783 is 3.

Given numbers are 720, 945, 120, 783

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, 120) = 360

GCD(45, 120) = ( 45 x 120 ) / 360

= 45 / 120

= 45

Step3:

LCM(15, 783) = 3915

GCD(15, 783) = ( 15 x 783 ) / 3915

= 15 / 783

= 15

So, Greatest Common Divisor of 720, 945, 120, 783 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 818, 198, 985
• GCD of 775, 833, 176, 341
• GCD of 209, 954, 306, 161
• GCD of 219, 588, 722, 825
• GCD of 421, 164, 549, 351

Given numbers are 720, 945, 120, 783
The greatest common divisor of numbers 720, 945, 120, 783 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 945, 120, 783 is 3.

1. What is the GCD of 720, 945, 120, 783?

GCD of given numbers 720, 945, 120, 783 is 3

2. How to calculate the greatest common divisor of 720, 945, 120, 783?

We can find the highest common divisor of 720, 945, 120, 783 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, 120, 783 i.e 3.

3. How can I use the GCD of 720, 945, 120, 783Calculator?

Out the numbers 720, 945, 120, 783 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.