GCD of 224, 862, 688, 828 Calculator

Given Input numbers are 224, 862, 688, 828

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 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (224, 862, 688, 828) = 2.

Given numbers are 224, 862, 688, 828

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 862 are 2 x 431

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 224, 862, 688, 828 is 2.

Given numbers are 224, 862, 688, 828

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

Apply this formula for all numbers.

Step1:

LCM(224, 862) = 96544

GCD(224, 862) = ( 224 x 862 ) / 96544

= 224 / 862

= 224

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 224, 862, 688, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 376, 569, 867
• GCD of 721, 785, 201, 434
• GCD of 574, 284, 533, 392
• GCD of 335, 213, 425, 541
• GCD of 377, 960, 961, 266

Given numbers are 224, 862, 688, 828
The greatest common divisor of numbers 224, 862, 688, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 862, 688, 828 is 2.

1. What is the GCD of 224, 862, 688, 828?

GCD of given numbers 224, 862, 688, 828 is 2

2. How to calculate the greatest common divisor of 224, 862, 688, 828?

We can find the highest common divisor of 224, 862, 688, 828 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, 862, 688, 828 i.e 2.

3. How can I use the GCD of 224, 862, 688, 828Calculator?

Out the numbers 224, 862, 688, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.