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GCD of 800, 156, 925, 202 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, 156, 925, 202 quickly. Get the easiest ways to solve the greatest common divisor of 800, 156, 925, 202 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 156, 925, 202 with Factoring?

Given Input numbers are 800, 156, 925, 202

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 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202


GCD of numbers is the greatest common divisor

So, the GCD (800, 156, 925, 202) = 1.

Find GCD of 800, 156, 925, 202 using Prime Factorization

Given numbers are 800, 156, 925, 202

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 156 are 2 x 2 x 3 x 13

Prime factors of 925 are 5 x 5 x 37

Prime factors of 202 are 2 x 101

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

Steps to Calculate GCD of 800, 156, 925, 202 using LCM Formula

Given numbers are 800, 156, 925, 202

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

Apply this formula for all numbers.

Step1:

LCM(800, 156) = 31200

GCD(800, 156) = ( 800 x 156 ) / 31200

= 800 / 156

= 800


Step2:

LCM(4, 925) = 3700

GCD(4, 925) = ( 4 x 925 ) / 3700

= 4 / 925

= 4


Step3:

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

= 1 / 202

= 1


So, Greatest Common Divisor of 800, 156, 925, 202 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 156, 925, 202

Given numbers are 800, 156, 925, 202
The greatest common divisor of numbers 800, 156, 925, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 156, 925, 202 is 1.

FAQs on GCD of 800, 156, 925, 202 Calculator

1. What is the GCD of 800, 156, 925, 202?

GCD of given numbers 800, 156, 925, 202 is 1


2. How to calculate the greatest common divisor of 800, 156, 925, 202?

We can find the highest common divisor of 800, 156, 925, 202 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, 156, 925, 202 i.e 1.


3. How can I use the GCD of 800, 156, 925, 202Calculator?

Out the numbers 800, 156, 925, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.