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GCD of 150, 440, 994, 725 Calculator

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


Online GCD Calculator is useful to find the GCD of 150, 440, 994, 725 quickly. Get the easiest ways to solve the greatest common divisor of 150, 440, 994, 725 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 440, 994, 725 with Factoring?

Given Input numbers are 150, 440, 994, 725

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725


GCD of numbers is the greatest common divisor

So, the GCD (150, 440, 994, 725) = 1.

Find GCD of 150, 440, 994, 725 using Prime Factorization

Given numbers are 150, 440, 994, 725

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 994 are 2 x 7 x 71

Prime factors of 725 are 5 x 5 x 29

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

Steps to Calculate GCD of 150, 440, 994, 725 using LCM Formula

Given numbers are 150, 440, 994, 725

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

Apply this formula for all numbers.

Step1:

LCM(150, 440) = 6600

GCD(150, 440) = ( 150 x 440 ) / 6600

= 150 / 440

= 150


Step2:

LCM(10, 994) = 4970

GCD(10, 994) = ( 10 x 994 ) / 4970

= 10 / 994

= 10


Step3:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2


So, Greatest Common Divisor of 150, 440, 994, 725 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 440, 994, 725

Given numbers are 150, 440, 994, 725
The greatest common divisor of numbers 150, 440, 994, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 440, 994, 725 is 1.

FAQs on GCD of 150, 440, 994, 725 Calculator

1. What is the GCD of 150, 440, 994, 725?

GCD of given numbers 150, 440, 994, 725 is 1


2. How to calculate the greatest common divisor of 150, 440, 994, 725?

We can find the highest common divisor of 150, 440, 994, 725 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 150, 440, 994, 725 i.e 1.


3. How can I use the GCD of 150, 440, 994, 725Calculator?

Out the numbers 150, 440, 994, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.