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GCD of 120, 932, 546, 266 Calculator

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


Online GCD Calculator is useful to find the GCD of 120, 932, 546, 266 quickly. Get the easiest ways to solve the greatest common divisor of 120, 932, 546, 266 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 932, 546, 266 with Factoring?

Given Input numbers are 120, 932, 546, 266

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266


GCD of numbers is the greatest common divisor

So, the GCD (120, 932, 546, 266) = 2.

Find GCD of 120, 932, 546, 266 using Prime Factorization

Given numbers are 120, 932, 546, 266

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 932 are 2 x 2 x 233

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 21

Therefore, GCD of 120, 932, 546, 266 is 2.

Steps to Calculate GCD of 120, 932, 546, 266 using LCM Formula

Given numbers are 120, 932, 546, 266

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

Apply this formula for all numbers.

Step1:

LCM(120, 932) = 27960

GCD(120, 932) = ( 120 x 932 ) / 27960

= 120 / 932

= 120


Step2:

LCM(4, 546) = 1092

GCD(4, 546) = ( 4 x 546 ) / 1092

= 4 / 546

= 4


Step3:

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

= 2 / 266

= 2


So, Greatest Common Divisor of 120, 932, 546, 266 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 932, 546, 266

Given numbers are 120, 932, 546, 266
The greatest common divisor of numbers 120, 932, 546, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 932, 546, 266 is 2.

FAQs on GCD of 120, 932, 546, 266 Calculator

1. What is the GCD of 120, 932, 546, 266?

GCD of given numbers 120, 932, 546, 266 is 2


2. How to calculate the greatest common divisor of 120, 932, 546, 266?

We can find the highest common divisor of 120, 932, 546, 266 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 120, 932, 546, 266 i.e 2.


3. How can I use the GCD of 120, 932, 546, 266Calculator?

Out the numbers 120, 932, 546, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.