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GCD of 364, 448, 928, 850 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 448, 928, 850 quickly. Get the easiest ways to solve the greatest common divisor of 364, 448, 928, 850 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 448, 928, 850 with Factoring?

Given Input numbers are 364, 448, 928, 850

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850


GCD of numbers is the greatest common divisor

So, the GCD (364, 448, 928, 850) = 2.

Find GCD of 364, 448, 928, 850 using Prime Factorization

Given numbers are 364, 448, 928, 850

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 850 are 2 x 5 x 5 x 17

The highest common occurrence is 21

Therefore, GCD of 364, 448, 928, 850 is 2.

Steps to Calculate GCD of 364, 448, 928, 850 using LCM Formula

Given numbers are 364, 448, 928, 850

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

Apply this formula for all numbers.

Step1:

LCM(364, 448) = 5824

GCD(364, 448) = ( 364 x 448 ) / 5824

= 364 / 448

= 364


Step2:

LCM(28, 928) = 6496

GCD(28, 928) = ( 28 x 928 ) / 6496

= 28 / 928

= 28


Step3:

LCM(4, 850) = 1700

GCD(4, 850) = ( 4 x 850 ) / 1700

= 4 / 850

= 4


So, Greatest Common Divisor of 364, 448, 928, 850 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 448, 928, 850

Given numbers are 364, 448, 928, 850
The greatest common divisor of numbers 364, 448, 928, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 448, 928, 850 is 2.

FAQs on GCD of 364, 448, 928, 850 Calculator

1. What is the GCD of 364, 448, 928, 850?

GCD of given numbers 364, 448, 928, 850 is 2


2. How to calculate the greatest common divisor of 364, 448, 928, 850?

We can find the highest common divisor of 364, 448, 928, 850 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 364, 448, 928, 850 i.e 2.


3. How can I use the GCD of 364, 448, 928, 850Calculator?

Out the numbers 364, 448, 928, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.