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GCD of 550, 994, 240, 118 Calculator

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


Online GCD Calculator is useful to find the GCD of 550, 994, 240, 118 quickly. Get the easiest ways to solve the greatest common divisor of 550, 994, 240, 118 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 550, 994, 240, 118 with Factoring?

Given Input numbers are 550, 994, 240, 118

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118


GCD of numbers is the greatest common divisor

So, the GCD (550, 994, 240, 118) = 2.

Find GCD of 550, 994, 240, 118 using Prime Factorization

Given numbers are 550, 994, 240, 118

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 994 are 2 x 7 x 71

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 118 are 2 x 59

The highest common occurrence is 21

Therefore, GCD of 550, 994, 240, 118 is 2.

Steps to Calculate GCD of 550, 994, 240, 118 using LCM Formula

Given numbers are 550, 994, 240, 118

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

Apply this formula for all numbers.

Step1:

LCM(550, 994) = 273350

GCD(550, 994) = ( 550 x 994 ) / 273350

= 550 / 994

= 550


Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2


Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2


So, Greatest Common Divisor of 550, 994, 240, 118 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 550, 994, 240, 118

Given numbers are 550, 994, 240, 118
The greatest common divisor of numbers 550, 994, 240, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 994, 240, 118 is 2.

FAQs on GCD of 550, 994, 240, 118 Calculator

1. What is the GCD of 550, 994, 240, 118?

GCD of given numbers 550, 994, 240, 118 is 2


2. How to calculate the greatest common divisor of 550, 994, 240, 118?

We can find the highest common divisor of 550, 994, 240, 118 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 550, 994, 240, 118 i.e 2.


3. How can I use the GCD of 550, 994, 240, 118Calculator?

Out the numbers 550, 994, 240, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.