GCD of 748, 894, 444, 420 Calculator

Given Input numbers are 748, 894, 444, 420

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

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (748, 894, 444, 420) = 2.

Given numbers are 748, 894, 444, 420

The list of prime factors of all numbers are

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

Prime factors of 894 are 2 x 3 x 149

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 748, 894, 444, 420 is 2.

Given numbers are 748, 894, 444, 420

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

Apply this formula for all numbers.

Step1:

LCM(748, 894) = 334356

GCD(748, 894) = ( 748 x 894 ) / 334356

= 748 / 894

= 748

Step2:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 748, 894, 444, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 982, 388, 453
• GCD of 143, 552, 890, 249
• GCD of 189, 289, 723, 281
• GCD of 272, 855, 472, 815
• GCD of 604, 377, 473, 564

Given numbers are 748, 894, 444, 420
The greatest common divisor of numbers 748, 894, 444, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 894, 444, 420 is 2.

1. What is the GCD of 748, 894, 444, 420?

GCD of given numbers 748, 894, 444, 420 is 2

2. How to calculate the greatest common divisor of 748, 894, 444, 420?

We can find the highest common divisor of 748, 894, 444, 420 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 748, 894, 444, 420 i.e 2.

3. How can I use the GCD of 748, 894, 444, 420Calculator?

Out the numbers 748, 894, 444, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.