GCD of 735, 689, 402, 946 Calculator

Given Input numbers are 735, 689, 402, 946

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 735, 689, 402, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 689, 402, 946 is 1.

Therefore, GCD of numbers 735, 689, 402, 946 is 1

Given Input Data is 735, 689, 402, 946

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 689 is 13 x 53

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 946 is 2 x 11 x 43

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, 689) = 506415

GCD(735, 689) = ( 735 x 689 ) / 506415

GCD(735, 689) = 506415 / 506415

GCD(735, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 735, 689, 402, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 857, 340, 498
• GCD of 939, 220, 234, 438
• GCD of 355, 281, 684, 518
• GCD of 495, 265, 936, 431
• GCD of 403, 865, 935, 370

1. What is the GCD of 735, 689, 402, 946?

GCD of 735, 689, 402, 946 is 1

2. Where do I get the detailed procedure to find GCD of 735, 689, 402, 946?

You can find a detailed procedure to find GCD of 735, 689, 402, 946 on our page.

3. How to find GCD of 735, 689, 402, 946 on a calculator?

You can find the GCD of 735, 689, 402, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.