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GCD of 528, 672, 424, 546 Calculator

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


Online GCD Calculator is useful to find the GCD of 528, 672, 424, 546 quickly. Get the easiest ways to solve the greatest common divisor of 528, 672, 424, 546 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 528, 672, 424, 546 with Factoring?

Given Input numbers are 528, 672, 424, 546

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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


GCD of numbers is the greatest common divisor

So, the GCD (528, 672, 424, 546) = 2.

Find GCD of 528, 672, 424, 546 using Prime Factorization

Given numbers are 528, 672, 424, 546

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 424 are 2 x 2 x 2 x 53

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

The highest common occurrence is 21

Therefore, GCD of 528, 672, 424, 546 is 2.

Steps to Calculate GCD of 528, 672, 424, 546 using LCM Formula

Given numbers are 528, 672, 424, 546

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

Apply this formula for all numbers.

Step1:

LCM(528, 672) = 7392

GCD(528, 672) = ( 528 x 672 ) / 7392

= 528 / 672

= 528


Step2:

LCM(48, 424) = 2544

GCD(48, 424) = ( 48 x 424 ) / 2544

= 48 / 424

= 48


Step3:

LCM(8, 546) = 2184

GCD(8, 546) = ( 8 x 546 ) / 2184

= 8 / 546

= 8


So, Greatest Common Divisor of 528, 672, 424, 546 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 528, 672, 424, 546

Given numbers are 528, 672, 424, 546
The greatest common divisor of numbers 528, 672, 424, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 672, 424, 546 is 2.

FAQs on GCD of 528, 672, 424, 546 Calculator

1. What is the GCD of 528, 672, 424, 546?

GCD of given numbers 528, 672, 424, 546 is 2


2. How to calculate the greatest common divisor of 528, 672, 424, 546?

We can find the highest common divisor of 528, 672, 424, 546 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 528, 672, 424, 546 i.e 2.


3. How can I use the GCD of 528, 672, 424, 546Calculator?

Out the numbers 528, 672, 424, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.