GCD of 90, 650, 616, 759 Calculator

Given Input numbers are 90, 650, 616, 759

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 90, 650, 616, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 650, 616, 759 is 1.

Therefore, GCD of numbers 90, 650, 616, 759 is 1

Given Input Data is 90, 650, 616, 759

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 759 is 3 x 11 x 23

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(90, 650) = 5850

GCD(90, 650) = ( 90 x 650 ) / 5850

GCD(90, 650) = 58500 / 5850

GCD(90, 650) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 616

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

LCM(10, 616) = 3080

GCD(10, 616) = ( 10 x 616 ) / 3080

GCD(10, 616) = 6160 / 3080

GCD(10, 616) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

GCD of 90, 650, 616, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 897, 189, 114
• GCD of 23, 212, 574, 920
• GCD of 38, 519, 574, 914
• GCD of 73, 671, 993, 823
• GCD of 63, 383, 509, 603

1. What is the GCD of 90, 650, 616, 759?

GCD of 90, 650, 616, 759 is 1

2. Where do I get the detailed procedure to find GCD of 90, 650, 616, 759?

You can find a detailed procedure to find GCD of 90, 650, 616, 759 on our page.

3. How to find GCD of 90, 650, 616, 759 on a calculator?

You can find the GCD of 90, 650, 616, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.