GCD of 735, 505, 91, 661 Calculator

Given Input numbers are 735, 505, 91, 661

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

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 735, 505, 91, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 505, 91, 661 is 1.

Therefore, GCD of numbers 735, 505, 91, 661 is 1

Given Input Data is 735, 505, 91, 661

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 505 is 5 x 101

Prime Factorization of 91 is 7 x 13

Prime Factorization of 661 is 661

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(735, 505) = 74235

GCD(735, 505) = ( 735 x 505 ) / 74235

GCD(735, 505) = 371175 / 74235

GCD(735, 505) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 91

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

LCM(5, 91) = 455

GCD(5, 91) = ( 5 x 91 ) / 455

GCD(5, 91) = 455 / 455

GCD(5, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 735, 505, 91, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 801, 66, 648
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1. What is the GCD of 735, 505, 91, 661?

GCD of 735, 505, 91, 661 is 1

2. Where do I get the detailed procedure to find GCD of 735, 505, 91, 661?

You can find a detailed procedure to find GCD of 735, 505, 91, 661 on our page.

3. How to find GCD of 735, 505, 91, 661 on a calculator?

You can find the GCD of 735, 505, 91, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.