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GCD of 248, 164, 426, 360 Calculator

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


Online GCD Calculator is useful to find the GCD of 248, 164, 426, 360 quickly. Get the easiest ways to solve the greatest common divisor of 248, 164, 426, 360 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 248, 164, 426, 360 with Factoring?

Given Input numbers are 248, 164, 426, 360

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360


GCD of numbers is the greatest common divisor

So, the GCD (248, 164, 426, 360) = 2.

Find GCD of 248, 164, 426, 360 using Prime Factorization

Given numbers are 248, 164, 426, 360

The list of prime factors of all numbers are

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 164 are 2 x 2 x 41

Prime factors of 426 are 2 x 3 x 71

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 248, 164, 426, 360 is 2.

Steps to Calculate GCD of 248, 164, 426, 360 using LCM Formula

Given numbers are 248, 164, 426, 360

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

Apply this formula for all numbers.

Step1:

LCM(248, 164) = 10168

GCD(248, 164) = ( 248 x 164 ) / 10168

= 248 / 164

= 248


Step2:

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

= 4 / 426

= 4


Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2


So, Greatest Common Divisor of 248, 164, 426, 360 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 248, 164, 426, 360

Given numbers are 248, 164, 426, 360
The greatest common divisor of numbers 248, 164, 426, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 164, 426, 360 is 2.

FAQs on GCD of 248, 164, 426, 360 Calculator

1. What is the GCD of 248, 164, 426, 360?

GCD of given numbers 248, 164, 426, 360 is 2


2. How to calculate the greatest common divisor of 248, 164, 426, 360?

We can find the highest common divisor of 248, 164, 426, 360 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 248, 164, 426, 360 i.e 2.


3. How can I use the GCD of 248, 164, 426, 360Calculator?

Out the numbers 248, 164, 426, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.