GCD of 704, 172, 750, 458 Calculator

Given Input numbers are 704, 172, 750, 458

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (704, 172, 750, 458) = 2.

Given numbers are 704, 172, 750, 458

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 172 are 2 x 2 x 43

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 458 are 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 704, 172, 750, 458 is 2.

Given numbers are 704, 172, 750, 458

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

Apply this formula for all numbers.

Step1:

LCM(704, 172) = 30272

GCD(704, 172) = ( 704 x 172 ) / 30272

= 704 / 172

= 704

Step2:

LCM(4, 750) = 1500

GCD(4, 750) = ( 4 x 750 ) / 1500

= 4 / 750

= 4

Step3:

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

= 2 / 458

= 2

So, Greatest Common Divisor of 704, 172, 750, 458 is 2

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Given numbers are 704, 172, 750, 458
The greatest common divisor of numbers 704, 172, 750, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 172, 750, 458 is 2.

1. What is the GCD of 704, 172, 750, 458?

GCD of given numbers 704, 172, 750, 458 is 2

2. How to calculate the greatest common divisor of 704, 172, 750, 458?

We can find the highest common divisor of 704, 172, 750, 458 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 704, 172, 750, 458 i.e 2.

3. How can I use the GCD of 704, 172, 750, 458Calculator?

Out the numbers 704, 172, 750, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.