GCD of 700, 721, 585, 224 Calculator

Given Input numbers are 700, 721, 585, 224

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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 (700, 721, 585, 224) = 1.

Given numbers are 700, 721, 585, 224

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 721 are 7 x 103

Prime factors of 585 are 3 x 3 x 5 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 700, 721, 585, 224

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

Apply this formula for all numbers.

Step1:

LCM(700, 721) = 72100

GCD(700, 721) = ( 700 x 721 ) / 72100

= 700 / 721

= 700

Step2:

LCM(7, 585) = 4095

GCD(7, 585) = ( 7 x 585 ) / 4095

= 7 / 585

= 7

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 700, 721, 585, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 479, 148, 336
• GCD of 586, 764, 847, 659
• GCD of 295, 637, 566, 888
• GCD of 555, 350, 293, 549
• GCD of 625, 690, 397, 261

Given numbers are 700, 721, 585, 224
The greatest common divisor of numbers 700, 721, 585, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 721, 585, 224 is 1.

1. What is the GCD of 700, 721, 585, 224?

GCD of given numbers 700, 721, 585, 224 is 1

2. How to calculate the greatest common divisor of 700, 721, 585, 224?

We can find the highest common divisor of 700, 721, 585, 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 700, 721, 585, 224 i.e 1.

3. How can I use the GCD of 700, 721, 585, 224Calculator?

Out the numbers 700, 721, 585, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.