GCD of 426, 279, 748, 420 Calculator

Given Input numbers are 426, 279, 748, 420

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

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 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 (426, 279, 748, 420) = 1.

Given numbers are 426, 279, 748, 420

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 279 are 3 x 3 x 31

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

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 426, 279, 748, 420

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

Apply this formula for all numbers.

Step1:

LCM(426, 279) = 39618

GCD(426, 279) = ( 426 x 279 ) / 39618

= 426 / 279

= 426

Step2:

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

= 3 / 748

= 3

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 426, 279, 748, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 282, 569, 156
• GCD of 747, 920, 602, 398
• GCD of 933, 603, 503, 123
• GCD of 122, 521, 319, 519
• GCD of 383, 386, 891, 255

Given numbers are 426, 279, 748, 420
The greatest common divisor of numbers 426, 279, 748, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 279, 748, 420 is 1.

1. What is the GCD of 426, 279, 748, 420?

GCD of given numbers 426, 279, 748, 420 is 1

2. How to calculate the greatest common divisor of 426, 279, 748, 420?

We can find the highest common divisor of 426, 279, 748, 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 426, 279, 748, 420 i.e 1.

3. How can I use the GCD of 426, 279, 748, 420Calculator?

Out the numbers 426, 279, 748, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.