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GCD of 900, 740, 711, 359 Calculator

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


Online GCD Calculator is useful to find the GCD of 900, 740, 711, 359 quickly. Get the easiest ways to solve the greatest common divisor of 900, 740, 711, 359 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 740, 711, 359 with Factoring?

Given Input numbers are 900, 740, 711, 359

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359


GCD of numbers is the greatest common divisor

So, the GCD (900, 740, 711, 359) = 1.

Find GCD of 900, 740, 711, 359 using Prime Factorization

Given numbers are 900, 740, 711, 359

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 711 are 3 x 3 x 79

Prime factors of 359 are 359

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

Steps to Calculate GCD of 900, 740, 711, 359 using LCM Formula

Given numbers are 900, 740, 711, 359

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

Apply this formula for all numbers.

Step1:

LCM(900, 740) = 33300

GCD(900, 740) = ( 900 x 740 ) / 33300

= 900 / 740

= 900


Step2:

LCM(20, 711) = 14220

GCD(20, 711) = ( 20 x 711 ) / 14220

= 20 / 711

= 20


Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1


So, Greatest Common Divisor of 900, 740, 711, 359 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 740, 711, 359

Given numbers are 900, 740, 711, 359
The greatest common divisor of numbers 900, 740, 711, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 740, 711, 359 is 1.

FAQs on GCD of 900, 740, 711, 359 Calculator

1. What is the GCD of 900, 740, 711, 359?

GCD of given numbers 900, 740, 711, 359 is 1


2. How to calculate the greatest common divisor of 900, 740, 711, 359?

We can find the highest common divisor of 900, 740, 711, 359 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 900, 740, 711, 359 i.e 1.


3. How can I use the GCD of 900, 740, 711, 359Calculator?

Out the numbers 900, 740, 711, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.