GCD of 394, 270, 759, 420 Calculator

Given Input numbers are 394, 270, 759, 420

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

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 (394, 270, 759, 420) = 1.

Given numbers are 394, 270, 759, 420

The list of prime factors of all numbers are

Prime factors of 394 are 2 x 197

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 759 are 3 x 11 x 23

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 394, 270, 759, 420

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

Apply this formula for all numbers.

Step1:

LCM(394, 270) = 53190

GCD(394, 270) = ( 394 x 270 ) / 53190

= 394 / 270

= 394

Step2:

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

= 2 / 759

= 2

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 394, 270, 759, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 354, 208, 445
• GCD of 798, 868, 775, 820
• GCD of 653, 682, 682, 675
• GCD of 608, 580, 168, 384
• GCD of 435, 559, 890, 672

Given numbers are 394, 270, 759, 420
The greatest common divisor of numbers 394, 270, 759, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 270, 759, 420 is 1.

1. What is the GCD of 394, 270, 759, 420?

GCD of given numbers 394, 270, 759, 420 is 1

2. How to calculate the greatest common divisor of 394, 270, 759, 420?

We can find the highest common divisor of 394, 270, 759, 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 394, 270, 759, 420 i.e 1.

3. How can I use the GCD of 394, 270, 759, 420Calculator?

Out the numbers 394, 270, 759, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.