GCD of 765, 649, 87, 761 Calculator

Given Input numbers are 765, 649, 87, 761

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 765, 649, 87, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 649, 87, 761 is 1.

Therefore, GCD of numbers 765, 649, 87, 761 is 1

Given Input Data is 765, 649, 87, 761

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 649 is 11 x 59

Prime Factorization of 87 is 3 x 29

Prime Factorization of 761 is 761

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(765, 649) = 496485

GCD(765, 649) = ( 765 x 649 ) / 496485

GCD(765, 649) = 496485 / 496485

GCD(765, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 765, 649, 87, 761 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 541, 93, 784
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• GCD of 623, 170, 78, 454
• GCD of 458, 493, 53, 152
• GCD of 766, 560, 25, 571

1. What is the GCD of 765, 649, 87, 761?

GCD of 765, 649, 87, 761 is 1

2. Where do I get the detailed procedure to find GCD of 765, 649, 87, 761?

You can find a detailed procedure to find GCD of 765, 649, 87, 761 on our page.

3. How to find GCD of 765, 649, 87, 761 on a calculator?

You can find the GCD of 765, 649, 87, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.