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GCD of 945, 770, 363, 220 Calculator

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


Online GCD Calculator is useful to find the GCD of 945, 770, 363, 220 quickly. Get the easiest ways to solve the greatest common divisor of 945, 770, 363, 220 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 770, 363, 220 with Factoring?

Given Input numbers are 945, 770, 363, 220

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220


GCD of numbers is the greatest common divisor

So, the GCD (945, 770, 363, 220) = 1.

Find GCD of 945, 770, 363, 220 using Prime Factorization

Given numbers are 945, 770, 363, 220

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Prime factors of 363 are 3 x 11 x 11

Prime factors of 220 are 2 x 2 x 5 x 11

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

Steps to Calculate GCD of 945, 770, 363, 220 using LCM Formula

Given numbers are 945, 770, 363, 220

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

Apply this formula for all numbers.

Step1:

LCM(945, 770) = 20790

GCD(945, 770) = ( 945 x 770 ) / 20790

= 945 / 770

= 945


Step2:

LCM(35, 363) = 12705

GCD(35, 363) = ( 35 x 363 ) / 12705

= 35 / 363

= 35


Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1


So, Greatest Common Divisor of 945, 770, 363, 220 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 770, 363, 220

Given numbers are 945, 770, 363, 220
The greatest common divisor of numbers 945, 770, 363, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 770, 363, 220 is 1.

FAQs on GCD of 945, 770, 363, 220 Calculator

1. What is the GCD of 945, 770, 363, 220?

GCD of given numbers 945, 770, 363, 220 is 1


2. How to calculate the greatest common divisor of 945, 770, 363, 220?

We can find the highest common divisor of 945, 770, 363, 220 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 945, 770, 363, 220 i.e 1.


3. How can I use the GCD of 945, 770, 363, 220Calculator?

Out the numbers 945, 770, 363, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.