GCD of 584, 321, 737, 700 Calculator

Given Input numbers are 584, 321, 737, 700

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

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

Greatest Common Divisior

We found the divisors of 584, 321, 737, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 321, 737, 700 is 1.

Therefore, GCD of numbers 584, 321, 737, 700 is 1

Given Input Data is 584, 321, 737, 700

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 321 is 3 x 107

Prime Factorization of 737 is 11 x 67

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(584, 321) = 187464

GCD(584, 321) = ( 584 x 321 ) / 187464

GCD(584, 321) = 187464 / 187464

GCD(584, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 584, 321, 737, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 740, 401, 689
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• GCD of 634, 502, 144, 863
• GCD of 394, 136, 148, 823
• GCD of 805, 183, 315, 904

1. What is the GCD of 584, 321, 737, 700?

GCD of 584, 321, 737, 700 is 1

2. Where do I get the detailed procedure to find GCD of 584, 321, 737, 700?

You can find a detailed procedure to find GCD of 584, 321, 737, 700 on our page.

3. How to find GCD of 584, 321, 737, 700 on a calculator?

You can find the GCD of 584, 321, 737, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.