GCD of 735, 750, 221, 384 Calculator

Given Input numbers are 735, 750, 221, 384

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 221 :

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

1, 13, 17, 221

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (735, 750, 221, 384) = 1.

Given numbers are 735, 750, 221, 384

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

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

Prime factors of 221 are 13 x 17

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 735, 750, 221, 384

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

Apply this formula for all numbers.

Step1:

LCM(735, 750) = 36750

GCD(735, 750) = ( 735 x 750 ) / 36750

= 735 / 750

= 735

Step2:

LCM(15, 221) = 3315

GCD(15, 221) = ( 15 x 221 ) / 3315

= 15 / 221

= 15

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 735, 750, 221, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 996, 837, 126
• GCD of 584, 734, 708, 793
• GCD of 790, 309, 403, 162
• GCD of 402, 362, 637, 416
• GCD of 745, 125, 151, 433

Given numbers are 735, 750, 221, 384
The greatest common divisor of numbers 735, 750, 221, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 750, 221, 384 is 1.

1. What is the GCD of 735, 750, 221, 384?

GCD of given numbers 735, 750, 221, 384 is 1

2. How to calculate the greatest common divisor of 735, 750, 221, 384?

We can find the highest common divisor of 735, 750, 221, 384 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 735, 750, 221, 384 i.e 1.

3. How can I use the GCD of 735, 750, 221, 384Calculator?

Out the numbers 735, 750, 221, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.