GCD of 730, 224, 890, 672 Calculator

Given Input numbers are 730, 224, 890, 672

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (730, 224, 890, 672) = 2.

Given numbers are 730, 224, 890, 672

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

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

Prime factors of 890 are 2 x 5 x 89

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 730, 224, 890, 672 is 2.

Given numbers are 730, 224, 890, 672

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

Apply this formula for all numbers.

Step1:

LCM(730, 224) = 81760

GCD(730, 224) = ( 730 x 224 ) / 81760

= 730 / 224

= 730

Step2:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 730, 224, 890, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 871, 414, 727
• GCD of 367, 839, 471, 483
• GCD of 713, 358, 826, 571
• GCD of 980, 540, 692, 640
• GCD of 178, 187, 935, 859

Given numbers are 730, 224, 890, 672
The greatest common divisor of numbers 730, 224, 890, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 224, 890, 672 is 2.

1. What is the GCD of 730, 224, 890, 672?

GCD of given numbers 730, 224, 890, 672 is 2

2. How to calculate the greatest common divisor of 730, 224, 890, 672?

We can find the highest common divisor of 730, 224, 890, 672 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 730, 224, 890, 672 i.e 2.

3. How can I use the GCD of 730, 224, 890, 672Calculator?

Out the numbers 730, 224, 890, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.