GCD of 456, 366, 720, 710 Calculator

Given Input numbers are 456, 366, 720, 710

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

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 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

GCD of numbers is the greatest common divisor

So, the GCD (456, 366, 720, 710) = 2.

Given numbers are 456, 366, 720, 710

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 366 are 2 x 3 x 61

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

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 2¹

Therefore, GCD of 456, 366, 720, 710 is 2.

Given numbers are 456, 366, 720, 710

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

Apply this formula for all numbers.

Step1:

LCM(456, 366) = 27816

GCD(456, 366) = ( 456 x 366 ) / 27816

= 456 / 366

= 456

Step2:

LCM(6, 720) = 720

GCD(6, 720) = ( 6 x 720 ) / 720

= 6 / 720

= 6

Step3:

LCM(6, 710) = 2130

GCD(6, 710) = ( 6 x 710 ) / 2130

= 6 / 710

= 6

So, Greatest Common Divisor of 456, 366, 720, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 405, 340, 640
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• GCD of 749, 610, 832, 237
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• GCD of 421, 361, 392, 934

Given numbers are 456, 366, 720, 710
The greatest common divisor of numbers 456, 366, 720, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 366, 720, 710 is 2.

1. What is the GCD of 456, 366, 720, 710?

GCD of given numbers 456, 366, 720, 710 is 2

2. How to calculate the greatest common divisor of 456, 366, 720, 710?

We can find the highest common divisor of 456, 366, 720, 710 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 456, 366, 720, 710 i.e 2.

3. How can I use the GCD of 456, 366, 720, 710Calculator?

Out the numbers 456, 366, 720, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.