GCD of 231, 748, 445, 420 Calculator

Given Input numbers are 231, 748, 445, 420

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

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 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

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 (231, 748, 445, 420) = 1.

Given numbers are 231, 748, 445, 420

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

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

Prime factors of 445 are 5 x 89

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

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

Given numbers are 231, 748, 445, 420

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

Apply this formula for all numbers.

Step1:

LCM(231, 748) = 15708

GCD(231, 748) = ( 231 x 748 ) / 15708

= 231 / 748

= 231

Step2:

LCM(11, 445) = 4895

GCD(11, 445) = ( 11 x 445 ) / 4895

= 11 / 445

= 11

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 231, 748, 445, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 342, 265, 177
• GCD of 115, 489, 423, 398
• GCD of 252, 610, 463, 236
• GCD of 706, 426, 305, 377
• GCD of 141, 572, 740, 799

Given numbers are 231, 748, 445, 420
The greatest common divisor of numbers 231, 748, 445, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 748, 445, 420 is 1.

1. What is the GCD of 231, 748, 445, 420?

GCD of given numbers 231, 748, 445, 420 is 1

2. How to calculate the greatest common divisor of 231, 748, 445, 420?

We can find the highest common divisor of 231, 748, 445, 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 231, 748, 445, 420 i.e 1.

3. How can I use the GCD of 231, 748, 445, 420Calculator?

Out the numbers 231, 748, 445, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.