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GCD of 950, 608, 104, 828 Calculator

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


Online GCD Calculator is useful to find the GCD of 950, 608, 104, 828 quickly. Get the easiest ways to solve the greatest common divisor of 950, 608, 104, 828 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 950, 608, 104, 828 with Factoring?

Given Input numbers are 950, 608, 104, 828

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

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 104 :

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

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828


GCD of numbers is the greatest common divisor

So, the GCD (950, 608, 104, 828) = 2.

Find GCD of 950, 608, 104, 828 using Prime Factorization

Given numbers are 950, 608, 104, 828

The list of prime factors of all numbers are

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 21

Therefore, GCD of 950, 608, 104, 828 is 2.

Steps to Calculate GCD of 950, 608, 104, 828 using LCM Formula

Given numbers are 950, 608, 104, 828

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

Apply this formula for all numbers.

Step1:

LCM(950, 608) = 15200

GCD(950, 608) = ( 950 x 608 ) / 15200

= 950 / 608

= 950


Step2:

LCM(38, 104) = 1976

GCD(38, 104) = ( 38 x 104 ) / 1976

= 38 / 104

= 38


Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2


So, Greatest Common Divisor of 950, 608, 104, 828 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 950, 608, 104, 828

Given numbers are 950, 608, 104, 828
The greatest common divisor of numbers 950, 608, 104, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 950, 608, 104, 828 is 2.

FAQs on GCD of 950, 608, 104, 828 Calculator

1. What is the GCD of 950, 608, 104, 828?

GCD of given numbers 950, 608, 104, 828 is 2


2. How to calculate the greatest common divisor of 950, 608, 104, 828?

We can find the highest common divisor of 950, 608, 104, 828 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 950, 608, 104, 828 i.e 2.


3. How can I use the GCD of 950, 608, 104, 828Calculator?

Out the numbers 950, 608, 104, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.