GCD of 735, 100, 73, 221 Calculator

Given Input numbers are 735, 100, 73, 221

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 73 :

The positive integer divisors of 73 that completely divides 73 are.

1, 73

Divisors of 221 :

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

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (735, 100, 73, 221) = 1.

Given numbers are 735, 100, 73, 221

The list of prime factors of all numbers are

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

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 73 are 73

Prime factors of 221 are 13 x 17

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

Given numbers are 735, 100, 73, 221

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

Apply this formula for all numbers.

Step1:

LCM(735, 100) = 14700

GCD(735, 100) = ( 735 x 100 ) / 14700

= 735 / 100

= 735

Step2:

LCM(5, 73) = 365

GCD(5, 73) = ( 5 x 73 ) / 365

= 5 / 73

= 5

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 735, 100, 73, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 339, 59, 257
• GCD of 570, 921, 87, 446
• GCD of 764, 279, 42, 173
• GCD of 678, 284, 39, 591
• GCD of 262, 950, 53, 333

Given numbers are 735, 100, 73, 221
The greatest common divisor of numbers 735, 100, 73, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 100, 73, 221 is 1.

1. What is the GCD of 735, 100, 73, 221?

GCD of given numbers 735, 100, 73, 221 is 1

2. How to calculate the greatest common divisor of 735, 100, 73, 221?

We can find the highest common divisor of 735, 100, 73, 221 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, 100, 73, 221 i.e 1.

3. How can I use the GCD of 735, 100, 73, 221Calculator?

Out the numbers 735, 100, 73, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.