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GCD of 770, 300, 221, 882 Calculator

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


Online GCD Calculator is useful to find the GCD of 770, 300, 221, 882 quickly. Get the easiest ways to solve the greatest common divisor of 770, 300, 221, 882 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 770, 300, 221, 882 with Factoring?

Given Input numbers are 770, 300, 221, 882

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

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882


GCD of numbers is the greatest common divisor

So, the GCD (770, 300, 221, 882) = 1.

Find GCD of 770, 300, 221, 882 using Prime Factorization

Given numbers are 770, 300, 221, 882

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 221 are 13 x 17

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Steps to Calculate GCD of 770, 300, 221, 882 using LCM Formula

Given numbers are 770, 300, 221, 882

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

Apply this formula for all numbers.

Step1:

LCM(770, 300) = 23100

GCD(770, 300) = ( 770 x 300 ) / 23100

= 770 / 300

= 770


Step2:

LCM(10, 221) = 2210

GCD(10, 221) = ( 10 x 221 ) / 2210

= 10 / 221

= 10


Step3:

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

= 1 / 882

= 1


So, Greatest Common Divisor of 770, 300, 221, 882 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 770, 300, 221, 882

Given numbers are 770, 300, 221, 882
The greatest common divisor of numbers 770, 300, 221, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 300, 221, 882 is 1.

FAQs on GCD of 770, 300, 221, 882 Calculator

1. What is the GCD of 770, 300, 221, 882?

GCD of given numbers 770, 300, 221, 882 is 1


2. How to calculate the greatest common divisor of 770, 300, 221, 882?

We can find the highest common divisor of 770, 300, 221, 882 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 770, 300, 221, 882 i.e 1.


3. How can I use the GCD of 770, 300, 221, 882Calculator?

Out the numbers 770, 300, 221, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.