GCD of 420, 930, 300, 834 Calculator

Given Input numbers are 420, 930, 300, 834

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

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

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

GCD of numbers is the greatest common divisor

So, the GCD (420, 930, 300, 834) = 6.

Given numbers are 420, 930, 300, 834

The list of prime factors of all numbers are

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

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 420, 930, 300, 834 is 6.

Given numbers are 420, 930, 300, 834

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

Apply this formula for all numbers.

Step1:

LCM(420, 930) = 13020

GCD(420, 930) = ( 420 x 930 ) / 13020

= 420 / 930

= 420

Step2:

LCM(30, 300) = 300

GCD(30, 300) = ( 30 x 300 ) / 300

= 30 / 300

= 30

Step3:

LCM(30, 834) = 4170

GCD(30, 834) = ( 30 x 834 ) / 4170

= 30 / 834

= 30

So, Greatest Common Divisor of 420, 930, 300, 834 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 389, 649, 714
• GCD of 686, 370, 708, 756
• GCD of 766, 637, 509, 101
• GCD of 861, 817, 612, 341
• GCD of 289, 247, 443, 545

Given numbers are 420, 930, 300, 834
The greatest common divisor of numbers 420, 930, 300, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 930, 300, 834 is 6.

1. What is the GCD of 420, 930, 300, 834?

GCD of given numbers 420, 930, 300, 834 is 6

2. How to calculate the greatest common divisor of 420, 930, 300, 834?

We can find the highest common divisor of 420, 930, 300, 834 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 420, 930, 300, 834 i.e 6.

3. How can I use the GCD of 420, 930, 300, 834Calculator?

Out the numbers 420, 930, 300, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.