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GCD of 800, 225, 958, 146 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 225, 958, 146 quickly. Get the easiest ways to solve the greatest common divisor of 800, 225, 958, 146 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 225, 958, 146 with Factoring?

Given Input numbers are 800, 225, 958, 146

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146


GCD of numbers is the greatest common divisor

So, the GCD (800, 225, 958, 146) = 1.

Find GCD of 800, 225, 958, 146 using Prime Factorization

Given numbers are 800, 225, 958, 146

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 958 are 2 x 479

Prime factors of 146 are 2 x 73

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 800, 225, 958, 146 using LCM Formula

Given numbers are 800, 225, 958, 146

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

Apply this formula for all numbers.

Step1:

LCM(800, 225) = 7200

GCD(800, 225) = ( 800 x 225 ) / 7200

= 800 / 225

= 800


Step2:

LCM(25, 958) = 23950

GCD(25, 958) = ( 25 x 958 ) / 23950

= 25 / 958

= 25


Step3:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1


So, Greatest Common Divisor of 800, 225, 958, 146 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 225, 958, 146

Given numbers are 800, 225, 958, 146
The greatest common divisor of numbers 800, 225, 958, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 225, 958, 146 is 1.

FAQs on GCD of 800, 225, 958, 146 Calculator

1. What is the GCD of 800, 225, 958, 146?

GCD of given numbers 800, 225, 958, 146 is 1


2. How to calculate the greatest common divisor of 800, 225, 958, 146?

We can find the highest common divisor of 800, 225, 958, 146 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 800, 225, 958, 146 i.e 1.


3. How can I use the GCD of 800, 225, 958, 146Calculator?

Out the numbers 800, 225, 958, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.