GCD of 730, 264, 432, 860 Calculator

Given Input numbers are 730, 264, 432, 860

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

GCD of numbers is the greatest common divisor

So, the GCD (730, 264, 432, 860) = 2.

Given numbers are 730, 264, 432, 860

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 860 are 2 x 2 x 5 x 43

The highest common occurrence is 2¹

Therefore, GCD of 730, 264, 432, 860 is 2.

Given numbers are 730, 264, 432, 860

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

Apply this formula for all numbers.

Step1:

LCM(730, 264) = 96360

GCD(730, 264) = ( 730 x 264 ) / 96360

= 730 / 264

= 730

Step2:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

Step3:

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

= 2 / 860

= 2

So, Greatest Common Divisor of 730, 264, 432, 860 is 2

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• GCD of 776, 565, 592, 250
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Given numbers are 730, 264, 432, 860
The greatest common divisor of numbers 730, 264, 432, 860 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 264, 432, 860 is 2.

1. What is the GCD of 730, 264, 432, 860?

GCD of given numbers 730, 264, 432, 860 is 2

2. How to calculate the greatest common divisor of 730, 264, 432, 860?

We can find the highest common divisor of 730, 264, 432, 860 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 730, 264, 432, 860 i.e 2.

3. How can I use the GCD of 730, 264, 432, 860Calculator?

Out the numbers 730, 264, 432, 860 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.