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GCD of 104, 600, 124, 624 Calculator

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


Online GCD Calculator is useful to find the GCD of 104, 600, 124, 624 quickly. Get the easiest ways to solve the greatest common divisor of 104, 600, 124, 624 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 104, 600, 124, 624 with Factoring?

Given Input numbers are 104, 600, 124, 624

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

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 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624


GCD of numbers is the greatest common divisor

So, the GCD (104, 600, 124, 624) = 4.

Find GCD of 104, 600, 124, 624 using Prime Factorization

Given numbers are 104, 600, 124, 624

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

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

Prime factors of 124 are 2 x 2 x 31

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 22

Therefore, GCD of 104, 600, 124, 624 is 4.

Steps to Calculate GCD of 104, 600, 124, 624 using LCM Formula

Given numbers are 104, 600, 124, 624

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

Apply this formula for all numbers.

Step1:

LCM(104, 600) = 7800

GCD(104, 600) = ( 104 x 600 ) / 7800

= 104 / 600

= 104


Step2:

LCM(8, 124) = 248

GCD(8, 124) = ( 8 x 124 ) / 248

= 8 / 124

= 8


Step3:

LCM(4, 624) = 624

GCD(4, 624) = ( 4 x 624 ) / 624

= 4 / 624

= 4


So, Greatest Common Divisor of 104, 600, 124, 624 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 104, 600, 124, 624

Given numbers are 104, 600, 124, 624
The greatest common divisor of numbers 104, 600, 124, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 600, 124, 624 is 4.

FAQs on GCD of 104, 600, 124, 624 Calculator

1. What is the GCD of 104, 600, 124, 624?

GCD of given numbers 104, 600, 124, 624 is 4


2. How to calculate the greatest common divisor of 104, 600, 124, 624?

We can find the highest common divisor of 104, 600, 124, 624 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 104, 600, 124, 624 i.e 4.


3. How can I use the GCD of 104, 600, 124, 624Calculator?

Out the numbers 104, 600, 124, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.