GCD of 584, 734, 476, 452 Calculator

Given Input numbers are 584, 734, 476, 452

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (584, 734, 476, 452) = 2.

Given numbers are 584, 734, 476, 452

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 734 are 2 x 367

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 584, 734, 476, 452 is 2.

Given numbers are 584, 734, 476, 452

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

Apply this formula for all numbers.

Step1:

LCM(584, 734) = 214328

GCD(584, 734) = ( 584 x 734 ) / 214328

= 584 / 734

= 584

Step2:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

Step3:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

So, Greatest Common Divisor of 584, 734, 476, 452 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 164, 129, 235
• GCD of 402, 606, 583, 124
• GCD of 989, 556, 652, 959
• GCD of 350, 615, 310, 835
• GCD of 114, 762, 633, 257

Given numbers are 584, 734, 476, 452
The greatest common divisor of numbers 584, 734, 476, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 734, 476, 452 is 2.

1. What is the GCD of 584, 734, 476, 452?

GCD of given numbers 584, 734, 476, 452 is 2

2. How to calculate the greatest common divisor of 584, 734, 476, 452?

We can find the highest common divisor of 584, 734, 476, 452 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 584, 734, 476, 452 i.e 2.

3. How can I use the GCD of 584, 734, 476, 452Calculator?

Out the numbers 584, 734, 476, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.