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GCD of 496, 352, 252, 467 Calculator

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


Online GCD Calculator is useful to find the GCD of 496, 352, 252, 467 quickly. Get the easiest ways to solve the greatest common divisor of 496, 352, 252, 467 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 496, 352, 252, 467 with Factoring?

Given Input numbers are 496, 352, 252, 467

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467


GCD of numbers is the greatest common divisor

So, the GCD (496, 352, 252, 467) = 1.

Find GCD of 496, 352, 252, 467 using Prime Factorization

Given numbers are 496, 352, 252, 467

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 467 are 467

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 496, 352, 252, 467 using LCM Formula

Given numbers are 496, 352, 252, 467

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

Apply this formula for all numbers.

Step1:

LCM(496, 352) = 10912

GCD(496, 352) = ( 496 x 352 ) / 10912

= 496 / 352

= 496


Step2:

LCM(16, 252) = 1008

GCD(16, 252) = ( 16 x 252 ) / 1008

= 16 / 252

= 16


Step3:

LCM(4, 467) = 1868

GCD(4, 467) = ( 4 x 467 ) / 1868

= 4 / 467

= 4


So, Greatest Common Divisor of 496, 352, 252, 467 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 496, 352, 252, 467

Given numbers are 496, 352, 252, 467
The greatest common divisor of numbers 496, 352, 252, 467 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 352, 252, 467 is 1.

FAQs on GCD of 496, 352, 252, 467 Calculator

1. What is the GCD of 496, 352, 252, 467?

GCD of given numbers 496, 352, 252, 467 is 1


2. How to calculate the greatest common divisor of 496, 352, 252, 467?

We can find the highest common divisor of 496, 352, 252, 467 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 496, 352, 252, 467 i.e 1.


3. How can I use the GCD of 496, 352, 252, 467Calculator?

Out the numbers 496, 352, 252, 467 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.