GCD of 225, 420, 354, 420 Calculator

Given Input numbers are 225, 420, 354, 420

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

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 354 :

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

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

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 (225, 420, 354, 420) = 3.

Given numbers are 225, 420, 354, 420

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

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

Prime factors of 354 are 2 x 3 x 59

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

The highest common occurrence is 3¹

Therefore, GCD of 225, 420, 354, 420 is 3.

Given numbers are 225, 420, 354, 420

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

Apply this formula for all numbers.

Step1:

LCM(225, 420) = 6300

GCD(225, 420) = ( 225 x 420 ) / 6300

= 225 / 420

= 225

Step2:

LCM(15, 354) = 1770

GCD(15, 354) = ( 15 x 354 ) / 1770

= 15 / 354

= 15

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 225, 420, 354, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 884, 946, 679
• GCD of 299, 281, 850, 832
• GCD of 655, 435, 170, 681
• GCD of 505, 329, 319, 296
• GCD of 144, 425, 898, 154

Given numbers are 225, 420, 354, 420
The greatest common divisor of numbers 225, 420, 354, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 420, 354, 420 is 3.

1. What is the GCD of 225, 420, 354, 420?

GCD of given numbers 225, 420, 354, 420 is 3

2. How to calculate the greatest common divisor of 225, 420, 354, 420?

We can find the highest common divisor of 225, 420, 354, 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 225, 420, 354, 420 i.e 3.

3. How can I use the GCD of 225, 420, 354, 420Calculator?

Out the numbers 225, 420, 354, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.