GCD of 74, 502, 989, 735 Calculator

Given Input numbers are 74, 502, 989, 735

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 74, 502, 989, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 502, 989, 735 is 1.

Therefore, GCD of numbers 74, 502, 989, 735 is 1

Given Input Data is 74, 502, 989, 735

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 502 is 2 x 251

Prime Factorization of 989 is 23 x 43

Prime Factorization of 735 is 3 x 5 x 7 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(74, 502) = 18574

GCD(74, 502) = ( 74 x 502 ) / 18574

GCD(74, 502) = 37148 / 18574

GCD(74, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 74, 502, 989, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 533, 525, 859
• GCD of 15, 695, 655, 250
• GCD of 93, 546, 429, 113
• GCD of 31, 369, 518, 177
• GCD of 37, 696, 794, 941

1. What is the GCD of 74, 502, 989, 735?

GCD of 74, 502, 989, 735 is 1

2. Where do I get the detailed procedure to find GCD of 74, 502, 989, 735?

You can find a detailed procedure to find GCD of 74, 502, 989, 735 on our page.

3. How to find GCD of 74, 502, 989, 735 on a calculator?

You can find the GCD of 74, 502, 989, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.