GCD of 221, 747, 753, 748 Calculator

Given Input numbers are 221, 747, 753, 748

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

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (221, 747, 753, 748) = 1.

Given numbers are 221, 747, 753, 748

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 747 are 3 x 3 x 83

Prime factors of 753 are 3 x 251

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 221, 747, 753, 748

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

Apply this formula for all numbers.

Step1:

LCM(221, 747) = 165087

GCD(221, 747) = ( 221 x 747 ) / 165087

= 221 / 747

= 221

Step2:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 221, 747, 753, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 973, 446, 208
• GCD of 616, 945, 748, 698
• GCD of 299, 146, 782, 124
• GCD of 335, 929, 141, 960
• GCD of 313, 680, 395, 146

Given numbers are 221, 747, 753, 748
The greatest common divisor of numbers 221, 747, 753, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 747, 753, 748 is 1.

1. What is the GCD of 221, 747, 753, 748?

GCD of given numbers 221, 747, 753, 748 is 1

2. How to calculate the greatest common divisor of 221, 747, 753, 748?

We can find the highest common divisor of 221, 747, 753, 748 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 221, 747, 753, 748 i.e 1.

3. How can I use the GCD of 221, 747, 753, 748Calculator?

Out the numbers 221, 747, 753, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.