GCD of 720, 125, 100, 545 Calculator

Given Input numbers are 720, 125, 100, 545

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 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

GCD of numbers is the greatest common divisor

So, the GCD (720, 125, 100, 545) = 5.

Given numbers are 720, 125, 100, 545

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 125 are 5 x 5 x 5

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 545 are 5 x 109

The highest common occurrence is 5¹

Therefore, GCD of 720, 125, 100, 545 is 5.

Given numbers are 720, 125, 100, 545

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

Apply this formula for all numbers.

Step1:

LCM(720, 125) = 18000

GCD(720, 125) = ( 720 x 125 ) / 18000

= 720 / 125

= 720

Step2:

LCM(5, 100) = 100

GCD(5, 100) = ( 5 x 100 ) / 100

= 5 / 100

= 5

Step3:

LCM(5, 545) = 545

GCD(5, 545) = ( 5 x 545 ) / 545

= 5 / 545

= 5

So, Greatest Common Divisor of 720, 125, 100, 545 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 369, 183, 956
• GCD of 287, 652, 922, 143
• GCD of 688, 284, 150, 576
• GCD of 867, 239, 561, 816
• GCD of 276, 987, 102, 311

Given numbers are 720, 125, 100, 545
The greatest common divisor of numbers 720, 125, 100, 545 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 125, 100, 545 is 5.

1. What is the GCD of 720, 125, 100, 545?

GCD of given numbers 720, 125, 100, 545 is 5

2. How to calculate the greatest common divisor of 720, 125, 100, 545?

We can find the highest common divisor of 720, 125, 100, 545 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, 125, 100, 545 i.e 5.

3. How can I use the GCD of 720, 125, 100, 545Calculator?

Out the numbers 720, 125, 100, 545 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.