GCD of 66, 749, 495, 948 Calculator

Given Input numbers are 66, 749, 495, 948

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 66, 749, 495, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 749, 495, 948 is 1.

Therefore, GCD of numbers 66, 749, 495, 948 is 1

Given Input Data is 66, 749, 495, 948

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 749 is 7 x 107

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(66, 749) = 49434

GCD(66, 749) = ( 66 x 749 ) / 49434

GCD(66, 749) = 49434 / 49434

GCD(66, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 66, 749, 495, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 120, 236, 511
• GCD of 37, 418, 491, 650
• GCD of 29, 220, 350, 477
• GCD of 40, 307, 949, 801
• GCD of 33, 283, 338, 477

1. What is the GCD of 66, 749, 495, 948?

GCD of 66, 749, 495, 948 is 1

2. Where do I get the detailed procedure to find GCD of 66, 749, 495, 948?

You can find a detailed procedure to find GCD of 66, 749, 495, 948 on our page.

3. How to find GCD of 66, 749, 495, 948 on a calculator?

You can find the GCD of 66, 749, 495, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.