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GCD of 175, 985, 720, 721 Calculator

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


Online GCD Calculator is useful to find the GCD of 175, 985, 720, 721 quickly. Get the easiest ways to solve the greatest common divisor of 175, 985, 720, 721 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 175, 985, 720, 721 with Factoring?

Given Input numbers are 175, 985, 720, 721

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721


GCD of numbers is the greatest common divisor

So, the GCD (175, 985, 720, 721) = 1.

Find GCD of 175, 985, 720, 721 using Prime Factorization

Given numbers are 175, 985, 720, 721

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 985 are 5 x 197

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 721 are 7 x 103

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

Steps to Calculate GCD of 175, 985, 720, 721 using LCM Formula

Given numbers are 175, 985, 720, 721

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

Apply this formula for all numbers.

Step1:

LCM(175, 985) = 34475

GCD(175, 985) = ( 175 x 985 ) / 34475

= 175 / 985

= 175


Step2:

LCM(5, 720) = 720

GCD(5, 720) = ( 5 x 720 ) / 720

= 5 / 720

= 5


Step3:

LCM(5, 721) = 3605

GCD(5, 721) = ( 5 x 721 ) / 3605

= 5 / 721

= 5


So, Greatest Common Divisor of 175, 985, 720, 721 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 175, 985, 720, 721

Given numbers are 175, 985, 720, 721
The greatest common divisor of numbers 175, 985, 720, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 985, 720, 721 is 1.

FAQs on GCD of 175, 985, 720, 721 Calculator

1. What is the GCD of 175, 985, 720, 721?

GCD of given numbers 175, 985, 720, 721 is 1


2. How to calculate the greatest common divisor of 175, 985, 720, 721?

We can find the highest common divisor of 175, 985, 720, 721 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 175, 985, 720, 721 i.e 1.


3. How can I use the GCD of 175, 985, 720, 721Calculator?

Out the numbers 175, 985, 720, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.