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GCD of 488, 776, 940, 206 Calculator

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


Online GCD Calculator is useful to find the GCD of 488, 776, 940, 206 quickly. Get the easiest ways to solve the greatest common divisor of 488, 776, 940, 206 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 488, 776, 940, 206 with Factoring?

Given Input numbers are 488, 776, 940, 206

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206


GCD of numbers is the greatest common divisor

So, the GCD (488, 776, 940, 206) = 2.

Find GCD of 488, 776, 940, 206 using Prime Factorization

Given numbers are 488, 776, 940, 206

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 206 are 2 x 103

The highest common occurrence is 21

Therefore, GCD of 488, 776, 940, 206 is 2.

Steps to Calculate GCD of 488, 776, 940, 206 using LCM Formula

Given numbers are 488, 776, 940, 206

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

Apply this formula for all numbers.

Step1:

LCM(488, 776) = 47336

GCD(488, 776) = ( 488 x 776 ) / 47336

= 488 / 776

= 488


Step2:

LCM(8, 940) = 1880

GCD(8, 940) = ( 8 x 940 ) / 1880

= 8 / 940

= 8


Step3:

LCM(4, 206) = 412

GCD(4, 206) = ( 4 x 206 ) / 412

= 4 / 206

= 4


So, Greatest Common Divisor of 488, 776, 940, 206 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 488, 776, 940, 206

Given numbers are 488, 776, 940, 206
The greatest common divisor of numbers 488, 776, 940, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 776, 940, 206 is 2.

FAQs on GCD of 488, 776, 940, 206 Calculator

1. What is the GCD of 488, 776, 940, 206?

GCD of given numbers 488, 776, 940, 206 is 2


2. How to calculate the greatest common divisor of 488, 776, 940, 206?

We can find the highest common divisor of 488, 776, 940, 206 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 488, 776, 940, 206 i.e 2.


3. How can I use the GCD of 488, 776, 940, 206Calculator?

Out the numbers 488, 776, 940, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.