GCD of 752, 221, 438, 284 Calculator

Given Input numbers are 752, 221, 438, 284

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (752, 221, 438, 284) = 1.

Given numbers are 752, 221, 438, 284

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 221 are 13 x 17

Prime factors of 438 are 2 x 3 x 73

Prime factors of 284 are 2 x 2 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 752, 221, 438, 284

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

Apply this formula for all numbers.

Step1:

LCM(752, 221) = 166192

GCD(752, 221) = ( 752 x 221 ) / 166192

= 752 / 221

= 752

Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

Step3:

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

= 1 / 284

= 1

So, Greatest Common Divisor of 752, 221, 438, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 153, 376, 161
• GCD of 125, 485, 492, 865
• GCD of 607, 167, 143, 346
• GCD of 462, 852, 172, 132
• GCD of 890, 275, 950, 796

Given numbers are 752, 221, 438, 284
The greatest common divisor of numbers 752, 221, 438, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 221, 438, 284 is 1.

1. What is the GCD of 752, 221, 438, 284?

GCD of given numbers 752, 221, 438, 284 is 1

2. How to calculate the greatest common divisor of 752, 221, 438, 284?

We can find the highest common divisor of 752, 221, 438, 284 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 752, 221, 438, 284 i.e 1.

3. How can I use the GCD of 752, 221, 438, 284Calculator?

Out the numbers 752, 221, 438, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.