GCD of 650, 770, 875, 107 Calculator

Given Input numbers are 650, 770, 875, 107

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

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 650, 770, 875, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 770, 875, 107 is 1.

Therefore, GCD of numbers 650, 770, 875, 107 is 1

Given Input Data is 650, 770, 875, 107

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

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 107 is 107

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(650, 770) = 50050

GCD(650, 770) = ( 650 x 770 ) / 50050

GCD(650, 770) = 500500 / 50050

GCD(650, 770) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 875

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

LCM(10, 875) = 1750

GCD(10, 875) = ( 10 x 875 ) / 1750

GCD(10, 875) = 8750 / 1750

GCD(10, 875) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 107

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

LCM(5, 107) = 535

GCD(5, 107) = ( 5 x 107 ) / 535

GCD(5, 107) = 535 / 535

GCD(5, 107) = 1

GCD of 650, 770, 875, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 124, 135, 622
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• GCD of 392, 934, 106, 602
• GCD of 508, 158, 312, 381

1. What is the GCD of 650, 770, 875, 107?

GCD of 650, 770, 875, 107 is 1

2. Where do I get the detailed procedure to find GCD of 650, 770, 875, 107?

You can find a detailed procedure to find GCD of 650, 770, 875, 107 on our page.

3. How to find GCD of 650, 770, 875, 107 on a calculator?

You can find the GCD of 650, 770, 875, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.