GCD of 584, 945, 98, 614 Calculator

Given Input numbers are 584, 945, 98, 614

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 584, 945, 98, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 945, 98, 614 is 1.

Therefore, GCD of numbers 584, 945, 98, 614 is 1

Given Input Data is 584, 945, 98, 614

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 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 614 is 2 x 307

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, 945) = 551880

GCD(584, 945) = ( 584 x 945 ) / 551880

GCD(584, 945) = 551880 / 551880

GCD(584, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 584, 945, 98, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 570, 42, 594
• GCD of 678, 149, 32, 550
• GCD of 575, 266, 43, 426
• GCD of 594, 125, 29, 905
• GCD of 119, 476, 49, 916

1. What is the GCD of 584, 945, 98, 614?

GCD of 584, 945, 98, 614 is 1

2. Where do I get the detailed procedure to find GCD of 584, 945, 98, 614?

You can find a detailed procedure to find GCD of 584, 945, 98, 614 on our page.

3. How to find GCD of 584, 945, 98, 614 on a calculator?

You can find the GCD of 584, 945, 98, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.