GCD of 280, 120, 608, 224 Calculator

Given Input numbers are 280, 120, 608, 224

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 (280, 120, 608, 224) = 8.

Given numbers are 280, 120, 608, 224

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

The highest common occurrence is 2³

Therefore, GCD of 280, 120, 608, 224 is 8.

Given numbers are 280, 120, 608, 224

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

Apply this formula for all numbers.

Step1:

LCM(280, 120) = 840

GCD(280, 120) = ( 280 x 120 ) / 840

= 280 / 120

= 280

Step2:

LCM(40, 608) = 3040

GCD(40, 608) = ( 40 x 608 ) / 3040

= 40 / 608

= 40

Step3:

LCM(8, 224) = 224

GCD(8, 224) = ( 8 x 224 ) / 224

= 8 / 224

= 8

So, Greatest Common Divisor of 280, 120, 608, 224 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 715, 538, 686
• GCD of 740, 728, 913, 405
• GCD of 891, 363, 191, 574
• GCD of 592, 487, 839, 447
• GCD of 929, 403, 561, 422

Given numbers are 280, 120, 608, 224
The greatest common divisor of numbers 280, 120, 608, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 120, 608, 224 is 8.

1. What is the GCD of 280, 120, 608, 224?

GCD of given numbers 280, 120, 608, 224 is 8

2. How to calculate the greatest common divisor of 280, 120, 608, 224?

We can find the highest common divisor of 280, 120, 608, 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 280, 120, 608, 224 i.e 8.

3. How can I use the GCD of 280, 120, 608, 224Calculator?

Out the numbers 280, 120, 608, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.