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GCD of 762, 201, 294 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, 201, 294 quickly. Get the easiest ways to solve the greatest common divisor of 762, 201, 294 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 762, 201, 294 with Factoring?

Given Input numbers are 762, 201, 294

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 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294


GCD of numbers is the greatest common divisor

So, the GCD (762, 201, 294) = 3.

Find GCD of 762, 201, 294 using Prime Factorization

Given numbers are 762, 201, 294

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 201 are 3 x 67

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 31

Therefore, GCD of 762, 201, 294 is 3.

Steps to Calculate GCD of 762, 201, 294 using LCM Formula

Given numbers are 762, 201, 294

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

Apply this formula for all numbers.

Step1:

LCM(762, 201) = 51054

GCD(762, 201) = ( 762 x 201 ) / 51054

= 762 / 201

= 762


Step2:

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

= 3 / 294

= 3


So, Greatest Common Divisor of 762, 201, 294 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 762, 201, 294

Given numbers are 762, 201, 294
The greatest common divisor of numbers 762, 201, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 201, 294 is 3.

FAQs on GCD of 762, 201, 294 Calculator

1. What is the GCD of 762, 201, 294?

GCD of given numbers 762, 201, 294 is 3


2. How to calculate the greatest common divisor of 762, 201, 294?

We can find the highest common divisor of 762, 201, 294 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, 201, 294 i.e 3.


3. How can I use the GCD of 762, 201, 294Calculator?

Out the numbers 762, 201, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.