GCD of 964, 174, 484, 730 Calculator

Given Input numbers are 964, 174, 484, 730

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

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 730 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (964, 174, 484, 730) = 2.

Given numbers are 964, 174, 484, 730

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 174 are 2 x 3 x 29

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 964, 174, 484, 730 is 2.

Given numbers are 964, 174, 484, 730

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

Apply this formula for all numbers.

Step1:

LCM(964, 174) = 83868

GCD(964, 174) = ( 964 x 174 ) / 83868

= 964 / 174

= 964

Step2:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

So, Greatest Common Divisor of 964, 174, 484, 730 is 2

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Given numbers are 964, 174, 484, 730
The greatest common divisor of numbers 964, 174, 484, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 174, 484, 730 is 2.

1. What is the GCD of 964, 174, 484, 730?

GCD of given numbers 964, 174, 484, 730 is 2

2. How to calculate the greatest common divisor of 964, 174, 484, 730?

We can find the highest common divisor of 964, 174, 484, 730 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 964, 174, 484, 730 i.e 2.

3. How can I use the GCD of 964, 174, 484, 730Calculator?

Out the numbers 964, 174, 484, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.