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GCD of 650, 245, 920, 814 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 650, 245, 920, 814 quickly. Get the easiest ways to solve the greatest common divisor of 650, 245, 920, 814 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 650, 245, 920, 814 with Factoring?

Given Input numbers are 650, 245, 920, 814

In the factoring method, we have to find the divisors of all numbers

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

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

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814


GCD of numbers is the greatest common divisor

So, the GCD (650, 245, 920, 814) = 1.

Find GCD of 650, 245, 920, 814 using Prime Factorization

Given numbers are 650, 245, 920, 814

The list of prime factors of all numbers are

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 245 are 5 x 7 x 7

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 814 are 2 x 11 x 37

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 650, 245, 920, 814 using LCM Formula

Given numbers are 650, 245, 920, 814

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(650, 245) = 31850

GCD(650, 245) = ( 650 x 245 ) / 31850

= 650 / 245

= 650


Step2:

LCM(5, 920) = 920

GCD(5, 920) = ( 5 x 920 ) / 920

= 5 / 920

= 5


Step3:

LCM(5, 814) = 4070

GCD(5, 814) = ( 5 x 814 ) / 4070

= 5 / 814

= 5


So, Greatest Common Divisor of 650, 245, 920, 814 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 650, 245, 920, 814

Given numbers are 650, 245, 920, 814
The greatest common divisor of numbers 650, 245, 920, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 245, 920, 814 is 1.

FAQs on GCD of 650, 245, 920, 814 Calculator

1. What is the GCD of 650, 245, 920, 814?

GCD of given numbers 650, 245, 920, 814 is 1


2. How to calculate the greatest common divisor of 650, 245, 920, 814?

We can find the highest common divisor of 650, 245, 920, 814 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 650, 245, 920, 814 i.e 1.


3. How can I use the GCD of 650, 245, 920, 814Calculator?

Out the numbers 650, 245, 920, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.