GCD of 434, 420, 224 Calculator

Given Input numbers are 434, 420, 224

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (434, 420, 224) = 14.

Given numbers are 434, 420, 224

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 434, 420, 224 is 14.

Given numbers are 434, 420, 224

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

Apply this formula for all numbers.

Step1:

LCM(434, 420) = 13020

GCD(434, 420) = ( 434 x 420 ) / 13020

= 434 / 420

= 434

Step2:

LCM(14, 224) = 224

GCD(14, 224) = ( 14 x 224 ) / 224

= 14 / 224

= 14

So, Greatest Common Divisor of 434, 420, 224 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 636, 181
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• GCD of 403, 814, 846
• GCD of 524, 703, 351
• GCD of 202, 400, 459

Given numbers are 434, 420, 224
The greatest common divisor of numbers 434, 420, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 420, 224 is 14.

1. What is the GCD of 434, 420, 224?

GCD of given numbers 434, 420, 224 is 14

2. How to calculate the greatest common divisor of 434, 420, 224?

We can find the highest common divisor of 434, 420, 224 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 434, 420, 224 i.e 14.

3. How can I use the GCD of 434, 420, 224Calculator?

Out the numbers 434, 420, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.