GCD of 224, 420, 858, 118 Calculator

Given Input numbers are 224, 420, 858, 118

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

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

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 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (224, 420, 858, 118) = 2.

Given numbers are 224, 420, 858, 118

The list of prime factors of all numbers are

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

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

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 224, 420, 858, 118 is 2.

Given numbers are 224, 420, 858, 118

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

Apply this formula for all numbers.

Step1:

LCM(224, 420) = 3360

GCD(224, 420) = ( 224 x 420 ) / 3360

= 224 / 420

= 224

Step2:

LCM(28, 858) = 12012

GCD(28, 858) = ( 28 x 858 ) / 12012

= 28 / 858

= 28

Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 224, 420, 858, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 923, 707, 141
• GCD of 769, 411, 847, 374
• GCD of 913, 470, 907, 275
• GCD of 926, 770, 288, 491
• GCD of 344, 657, 240, 269

Given numbers are 224, 420, 858, 118
The greatest common divisor of numbers 224, 420, 858, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 420, 858, 118 is 2.

1. What is the GCD of 224, 420, 858, 118?

GCD of given numbers 224, 420, 858, 118 is 2

2. How to calculate the greatest common divisor of 224, 420, 858, 118?

We can find the highest common divisor of 224, 420, 858, 118 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 224, 420, 858, 118 i.e 2.

3. How can I use the GCD of 224, 420, 858, 118Calculator?

Out the numbers 224, 420, 858, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.