GCD of 945, 505, 42, 767 Calculator

Given Input numbers are 945, 505, 42, 767

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

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 505

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

1, 5, 101, 505

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 945, 505, 42, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 505, 42, 767 is 1.

Therefore, GCD of numbers 945, 505, 42, 767 is 1

Given Input Data is 945, 505, 42, 767

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 505 is 5 x 101

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 767 is 13 x 59

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(945, 505) = 95445

GCD(945, 505) = ( 945 x 505 ) / 95445

GCD(945, 505) = 477225 / 95445

GCD(945, 505) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 42

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

LCM(5, 42) = 210

GCD(5, 42) = ( 5 x 42 ) / 210

GCD(5, 42) = 210 / 210

GCD(5, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 945, 505, 42, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 209, 42, 980
• GCD of 416, 110, 61, 366
• GCD of 853, 717, 51, 300
• GCD of 251, 884, 49, 511
• GCD of 753, 671, 53, 535

1. What is the GCD of 945, 505, 42, 767?

GCD of 945, 505, 42, 767 is 1

2. Where do I get the detailed procedure to find GCD of 945, 505, 42, 767?

You can find a detailed procedure to find GCD of 945, 505, 42, 767 on our page.

3. How to find GCD of 945, 505, 42, 767 on a calculator?

You can find the GCD of 945, 505, 42, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.