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GCD of 762, 288, 427, 221 Calculator

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


Online GCD Calculator is useful to find the GCD of 762, 288, 427, 221 quickly. Get the easiest ways to solve the greatest common divisor of 762, 288, 427, 221 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 762, 288, 427, 221 with Factoring?

Given Input numbers are 762, 288, 427, 221

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 221 :

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

1, 13, 17, 221


GCD of numbers is the greatest common divisor

So, the GCD (762, 288, 427, 221) = 1.

Find GCD of 762, 288, 427, 221 using Prime Factorization

Given numbers are 762, 288, 427, 221

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 427 are 7 x 61

Prime factors of 221 are 13 x 17

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

Steps to Calculate GCD of 762, 288, 427, 221 using LCM Formula

Given numbers are 762, 288, 427, 221

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

Apply this formula for all numbers.

Step1:

LCM(762, 288) = 36576

GCD(762, 288) = ( 762 x 288 ) / 36576

= 762 / 288

= 762


Step2:

LCM(6, 427) = 2562

GCD(6, 427) = ( 6 x 427 ) / 2562

= 6 / 427

= 6


Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1


So, Greatest Common Divisor of 762, 288, 427, 221 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 762, 288, 427, 221

Given numbers are 762, 288, 427, 221
The greatest common divisor of numbers 762, 288, 427, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 288, 427, 221 is 1.

FAQs on GCD of 762, 288, 427, 221 Calculator

1. What is the GCD of 762, 288, 427, 221?

GCD of given numbers 762, 288, 427, 221 is 1


2. How to calculate the greatest common divisor of 762, 288, 427, 221?

We can find the highest common divisor of 762, 288, 427, 221 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 762, 288, 427, 221 i.e 1.


3. How can I use the GCD of 762, 288, 427, 221Calculator?

Out the numbers 762, 288, 427, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.