GCD of 720, 542, 874, 480 Calculator

Given Input numbers are 720, 542, 874, 480

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 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (720, 542, 874, 480) = 2.

Given numbers are 720, 542, 874, 480

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 542 are 2 x 271

Prime factors of 874 are 2 x 19 x 23

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 720, 542, 874, 480 is 2.

Given numbers are 720, 542, 874, 480

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

Apply this formula for all numbers.

Step1:

LCM(720, 542) = 195120

GCD(720, 542) = ( 720 x 542 ) / 195120

= 720 / 542

= 720

Step2:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 720, 542, 874, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 763, 589, 984
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• GCD of 146, 995, 983, 529
• GCD of 104, 719, 523, 958

Given numbers are 720, 542, 874, 480
The greatest common divisor of numbers 720, 542, 874, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 542, 874, 480 is 2.

1. What is the GCD of 720, 542, 874, 480?

GCD of given numbers 720, 542, 874, 480 is 2

2. How to calculate the greatest common divisor of 720, 542, 874, 480?

We can find the highest common divisor of 720, 542, 874, 480 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, 542, 874, 480 i.e 2.

3. How can I use the GCD of 720, 542, 874, 480Calculator?

Out the numbers 720, 542, 874, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.