GCD of 224, 330, 826, 972 Calculator

Given Input numbers are 224, 330, 826, 972

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 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (224, 330, 826, 972) = 2.

Given numbers are 224, 330, 826, 972

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 330 are 2 x 3 x 5 x 11

Prime factors of 826 are 2 x 7 x 59

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 224, 330, 826, 972 is 2.

Given numbers are 224, 330, 826, 972

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

Apply this formula for all numbers.

Step1:

LCM(224, 330) = 36960

GCD(224, 330) = ( 224 x 330 ) / 36960

= 224 / 330

= 224

Step2:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 224, 330, 826, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 269, 880, 259
• GCD of 625, 144, 896, 229
• GCD of 634, 849, 857, 552
• GCD of 687, 982, 151, 413
• GCD of 190, 834, 613, 541

Given numbers are 224, 330, 826, 972
The greatest common divisor of numbers 224, 330, 826, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 330, 826, 972 is 2.

1. What is the GCD of 224, 330, 826, 972?

GCD of given numbers 224, 330, 826, 972 is 2

2. How to calculate the greatest common divisor of 224, 330, 826, 972?

We can find the highest common divisor of 224, 330, 826, 972 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, 330, 826, 972 i.e 2.

3. How can I use the GCD of 224, 330, 826, 972Calculator?

Out the numbers 224, 330, 826, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.