GCD of 420, 238, 282 Calculator

Given Input numbers are 420, 238, 282

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (420, 238, 282) = 2.

Given numbers are 420, 238, 282

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 238 are 2 x 7 x 17

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 420, 238, 282 is 2.

Given numbers are 420, 238, 282

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

Apply this formula for all numbers.

Step1:

LCM(420, 238) = 7140

GCD(420, 238) = ( 420 x 238 ) / 7140

= 420 / 238

= 420

Step2:

LCM(14, 282) = 1974

GCD(14, 282) = ( 14 x 282 ) / 1974

= 14 / 282

= 14

So, Greatest Common Divisor of 420, 238, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 421, 767
• GCD of 118, 534, 270
• GCD of 292, 736, 618
• GCD of 259, 334, 780
• GCD of 182, 972, 891

Given numbers are 420, 238, 282
The greatest common divisor of numbers 420, 238, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 238, 282 is 2.

1. What is the GCD of 420, 238, 282?

GCD of given numbers 420, 238, 282 is 2

2. How to calculate the greatest common divisor of 420, 238, 282?

We can find the highest common divisor of 420, 238, 282 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, 238, 282 i.e 2.

3. How can I use the GCD of 420, 238, 282Calculator?

Out the numbers 420, 238, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.