GCD of 334, 363, 782, 420 Calculator

Given Input numbers are 334, 363, 782, 420

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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 (334, 363, 782, 420) = 1.

Given numbers are 334, 363, 782, 420

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 363 are 3 x 11 x 11

Prime factors of 782 are 2 x 17 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 334, 363, 782, 420

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

Apply this formula for all numbers.

Step1:

LCM(334, 363) = 121242

GCD(334, 363) = ( 334 x 363 ) / 121242

= 334 / 363

= 334

Step2:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 334, 363, 782, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 844, 566, 594
• GCD of 523, 902, 513, 795
• GCD of 880, 936, 196, 830
• GCD of 782, 678, 113, 793
• GCD of 570, 260, 265, 876

Given numbers are 334, 363, 782, 420
The greatest common divisor of numbers 334, 363, 782, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 363, 782, 420 is 1.

1. What is the GCD of 334, 363, 782, 420?

GCD of given numbers 334, 363, 782, 420 is 1

2. How to calculate the greatest common divisor of 334, 363, 782, 420?

We can find the highest common divisor of 334, 363, 782, 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 334, 363, 782, 420 i.e 1.

3. How can I use the GCD of 334, 363, 782, 420Calculator?

Out the numbers 334, 363, 782, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.