GCD of 742, 633, 756, 221 Calculator

Given Input numbers are 742, 633, 756, 221

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 (742, 633, 756, 221) = 1.

Given numbers are 742, 633, 756, 221

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 633 are 3 x 211

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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 742, 633, 756, 221

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

Apply this formula for all numbers.

Step1:

LCM(742, 633) = 469686

GCD(742, 633) = ( 742 x 633 ) / 469686

= 742 / 633

= 742

Step2:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

Step3:

LCM(1, 221) = 221

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

= 1 / 221

= 1

So, Greatest Common Divisor of 742, 633, 756, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 728, 414, 226
• GCD of 236, 364, 842, 802
• GCD of 586, 723, 677, 604
• GCD of 423, 817, 375, 253
• GCD of 485, 690, 906, 696

Given numbers are 742, 633, 756, 221
The greatest common divisor of numbers 742, 633, 756, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 633, 756, 221 is 1.

1. What is the GCD of 742, 633, 756, 221?

GCD of given numbers 742, 633, 756, 221 is 1

2. How to calculate the greatest common divisor of 742, 633, 756, 221?

We can find the highest common divisor of 742, 633, 756, 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 742, 633, 756, 221 i.e 1.

3. How can I use the GCD of 742, 633, 756, 221Calculator?

Out the numbers 742, 633, 756, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.