GCD of 300, 420, 939, 354 Calculator

Given Input numbers are 300, 420, 939, 354

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

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 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 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (300, 420, 939, 354) = 3.

Given numbers are 300, 420, 939, 354

The list of prime factors of all numbers are

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

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

Prime factors of 939 are 3 x 313

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 300, 420, 939, 354 is 3.

Given numbers are 300, 420, 939, 354

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

Apply this formula for all numbers.

Step1:

LCM(300, 420) = 2100

GCD(300, 420) = ( 300 x 420 ) / 2100

= 300 / 420

= 300

Step2:

LCM(60, 939) = 18780

GCD(60, 939) = ( 60 x 939 ) / 18780

= 60 / 939

= 60

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 300, 420, 939, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 802, 937, 421
• GCD of 213, 947, 446, 253
• GCD of 236, 755, 768, 140
• GCD of 301, 901, 115, 857
• GCD of 123, 355, 849, 646

Given numbers are 300, 420, 939, 354
The greatest common divisor of numbers 300, 420, 939, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 420, 939, 354 is 3.

1. What is the GCD of 300, 420, 939, 354?

GCD of given numbers 300, 420, 939, 354 is 3

2. How to calculate the greatest common divisor of 300, 420, 939, 354?

We can find the highest common divisor of 300, 420, 939, 354 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 300, 420, 939, 354 i.e 3.

3. How can I use the GCD of 300, 420, 939, 354Calculator?

Out the numbers 300, 420, 939, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.