GCD of 775, 987, 42, 748 Calculator

Given Input numbers are 775, 987, 42, 748

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 775, 987, 42, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 987, 42, 748 is 1.

Therefore, GCD of numbers 775, 987, 42, 748 is 1

Given Input Data is 775, 987, 42, 748

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(775, 987) = 764925

GCD(775, 987) = ( 775 x 987 ) / 764925

GCD(775, 987) = 764925 / 764925

GCD(775, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 775, 987, 42, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 373, 72, 539
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• GCD of 487, 928, 44, 583
• GCD of 747, 541, 54, 963
• GCD of 926, 177, 83, 607

1. What is the GCD of 775, 987, 42, 748?

GCD of 775, 987, 42, 748 is 1

2. Where do I get the detailed procedure to find GCD of 775, 987, 42, 748?

You can find a detailed procedure to find GCD of 775, 987, 42, 748 on our page.

3. How to find GCD of 775, 987, 42, 748 on a calculator?

You can find the GCD of 775, 987, 42, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.