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GCD of 652, 132, 792, 448 Calculator

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


Online GCD Calculator is useful to find the GCD of 652, 132, 792, 448 quickly. Get the easiest ways to solve the greatest common divisor of 652, 132, 792, 448 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 652, 132, 792, 448 with Factoring?

Given Input numbers are 652, 132, 792, 448

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448


GCD of numbers is the greatest common divisor

So, the GCD (652, 132, 792, 448) = 4.

Find GCD of 652, 132, 792, 448 using Prime Factorization

Given numbers are 652, 132, 792, 448

The list of prime factors of all numbers are

Prime factors of 652 are 2 x 2 x 163

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 22

Therefore, GCD of 652, 132, 792, 448 is 4.

Steps to Calculate GCD of 652, 132, 792, 448 using LCM Formula

Given numbers are 652, 132, 792, 448

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

Apply this formula for all numbers.

Step1:

LCM(652, 132) = 21516

GCD(652, 132) = ( 652 x 132 ) / 21516

= 652 / 132

= 652


Step2:

LCM(4, 792) = 792

GCD(4, 792) = ( 4 x 792 ) / 792

= 4 / 792

= 4


Step3:

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

= 4 / 448

= 4


So, Greatest Common Divisor of 652, 132, 792, 448 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 652, 132, 792, 448

Given numbers are 652, 132, 792, 448
The greatest common divisor of numbers 652, 132, 792, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 652, 132, 792, 448 is 4.

FAQs on GCD of 652, 132, 792, 448 Calculator

1. What is the GCD of 652, 132, 792, 448?

GCD of given numbers 652, 132, 792, 448 is 4


2. How to calculate the greatest common divisor of 652, 132, 792, 448?

We can find the highest common divisor of 652, 132, 792, 448 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 652, 132, 792, 448 i.e 4.


3. How can I use the GCD of 652, 132, 792, 448Calculator?

Out the numbers 652, 132, 792, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.