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GCD of 600, 948, 348, 832 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 948, 348, 832 quickly. Get the easiest ways to solve the greatest common divisor of 600, 948, 348, 832 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 948, 348, 832 with Factoring?

Given Input numbers are 600, 948, 348, 832

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832


GCD of numbers is the greatest common divisor

So, the GCD (600, 948, 348, 832) = 4.

Find GCD of 600, 948, 348, 832 using Prime Factorization

Given numbers are 600, 948, 348, 832

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 22

Therefore, GCD of 600, 948, 348, 832 is 4.

Steps to Calculate GCD of 600, 948, 348, 832 using LCM Formula

Given numbers are 600, 948, 348, 832

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

Apply this formula for all numbers.

Step1:

LCM(600, 948) = 47400

GCD(600, 948) = ( 600 x 948 ) / 47400

= 600 / 948

= 600


Step2:

LCM(12, 348) = 348

GCD(12, 348) = ( 12 x 348 ) / 348

= 12 / 348

= 12


Step3:

LCM(12, 832) = 2496

GCD(12, 832) = ( 12 x 832 ) / 2496

= 12 / 832

= 12


So, Greatest Common Divisor of 600, 948, 348, 832 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 948, 348, 832

Given numbers are 600, 948, 348, 832
The greatest common divisor of numbers 600, 948, 348, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 948, 348, 832 is 4.

FAQs on GCD of 600, 948, 348, 832 Calculator

1. What is the GCD of 600, 948, 348, 832?

GCD of given numbers 600, 948, 348, 832 is 4


2. How to calculate the greatest common divisor of 600, 948, 348, 832?

We can find the highest common divisor of 600, 948, 348, 832 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 600, 948, 348, 832 i.e 4.


3. How can I use the GCD of 600, 948, 348, 832Calculator?

Out the numbers 600, 948, 348, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.