GCD of 224, 652, 886, 920 Calculator

Given Input numbers are 224, 652, 886, 920

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 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (224, 652, 886, 920) = 2.

Given numbers are 224, 652, 886, 920

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 652 are 2 x 2 x 163

Prime factors of 886 are 2 x 443

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 224, 652, 886, 920 is 2.

Given numbers are 224, 652, 886, 920

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

Apply this formula for all numbers.

Step1:

LCM(224, 652) = 36512

GCD(224, 652) = ( 224 x 652 ) / 36512

= 224 / 652

= 224

Step2:

LCM(4, 886) = 1772

GCD(4, 886) = ( 4 x 886 ) / 1772

= 4 / 886

= 4

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 224, 652, 886, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 644, 245, 954
• GCD of 277, 467, 100, 428
• GCD of 916, 375, 449, 189
• GCD of 990, 353, 259, 563
• GCD of 399, 761, 657, 512

Given numbers are 224, 652, 886, 920
The greatest common divisor of numbers 224, 652, 886, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 652, 886, 920 is 2.

1. What is the GCD of 224, 652, 886, 920?

GCD of given numbers 224, 652, 886, 920 is 2

2. How to calculate the greatest common divisor of 224, 652, 886, 920?

We can find the highest common divisor of 224, 652, 886, 920 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, 652, 886, 920 i.e 2.

3. How can I use the GCD of 224, 652, 886, 920Calculator?

Out the numbers 224, 652, 886, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.