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GCD of 890, 400, 929, 492 Calculator

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


Online GCD Calculator is useful to find the GCD of 890, 400, 929, 492 quickly. Get the easiest ways to solve the greatest common divisor of 890, 400, 929, 492 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 890, 400, 929, 492 with Factoring?

Given Input numbers are 890, 400, 929, 492

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

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 929 :

The positive integer divisors of 929 that completely divides 929 are.

1, 929

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492


GCD of numbers is the greatest common divisor

So, the GCD (890, 400, 929, 492) = 1.

Find GCD of 890, 400, 929, 492 using Prime Factorization

Given numbers are 890, 400, 929, 492

The list of prime factors of all numbers are

Prime factors of 890 are 2 x 5 x 89

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 929 are 929

Prime factors of 492 are 2 x 2 x 3 x 41

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

Steps to Calculate GCD of 890, 400, 929, 492 using LCM Formula

Given numbers are 890, 400, 929, 492

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

Apply this formula for all numbers.

Step1:

LCM(890, 400) = 35600

GCD(890, 400) = ( 890 x 400 ) / 35600

= 890 / 400

= 890


Step2:

LCM(10, 929) = 9290

GCD(10, 929) = ( 10 x 929 ) / 9290

= 10 / 929

= 10


Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1


So, Greatest Common Divisor of 890, 400, 929, 492 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 890, 400, 929, 492

Given numbers are 890, 400, 929, 492
The greatest common divisor of numbers 890, 400, 929, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 400, 929, 492 is 1.

FAQs on GCD of 890, 400, 929, 492 Calculator

1. What is the GCD of 890, 400, 929, 492?

GCD of given numbers 890, 400, 929, 492 is 1


2. How to calculate the greatest common divisor of 890, 400, 929, 492?

We can find the highest common divisor of 890, 400, 929, 492 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 890, 400, 929, 492 i.e 1.


3. How can I use the GCD of 890, 400, 929, 492Calculator?

Out the numbers 890, 400, 929, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.