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GCD of 816, 770, 822, 125 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 770, 822, 125 quickly. Get the easiest ways to solve the greatest common divisor of 816, 770, 822, 125 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 770, 822, 125 with Factoring?

Given Input numbers are 816, 770, 822, 125

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125


GCD of numbers is the greatest common divisor

So, the GCD (816, 770, 822, 125) = 1.

Find GCD of 816, 770, 822, 125 using Prime Factorization

Given numbers are 816, 770, 822, 125

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 822 are 2 x 3 x 137

Prime factors of 125 are 5 x 5 x 5

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

Steps to Calculate GCD of 816, 770, 822, 125 using LCM Formula

Given numbers are 816, 770, 822, 125

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

Apply this formula for all numbers.

Step1:

LCM(816, 770) = 314160

GCD(816, 770) = ( 816 x 770 ) / 314160

= 816 / 770

= 816


Step2:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2


Step3:

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

= 2 / 125

= 2


So, Greatest Common Divisor of 816, 770, 822, 125 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 770, 822, 125

Given numbers are 816, 770, 822, 125
The greatest common divisor of numbers 816, 770, 822, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 770, 822, 125 is 1.

FAQs on GCD of 816, 770, 822, 125 Calculator

1. What is the GCD of 816, 770, 822, 125?

GCD of given numbers 816, 770, 822, 125 is 1


2. How to calculate the greatest common divisor of 816, 770, 822, 125?

We can find the highest common divisor of 816, 770, 822, 125 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 816, 770, 822, 125 i.e 1.


3. How can I use the GCD of 816, 770, 822, 125Calculator?

Out the numbers 816, 770, 822, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.