LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 490, 560, 355, 732 Calculator

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


Online GCD Calculator is useful to find the GCD of 490, 560, 355, 732 quickly. Get the easiest ways to solve the greatest common divisor of 490, 560, 355, 732 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 490, 560, 355, 732 with Factoring?

Given Input numbers are 490, 560, 355, 732

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732


GCD of numbers is the greatest common divisor

So, the GCD (490, 560, 355, 732) = 1.

Find GCD of 490, 560, 355, 732 using Prime Factorization

Given numbers are 490, 560, 355, 732

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 355 are 5 x 71

Prime factors of 732 are 2 x 2 x 3 x 61

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

Steps to Calculate GCD of 490, 560, 355, 732 using LCM Formula

Given numbers are 490, 560, 355, 732

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

Apply this formula for all numbers.

Step1:

LCM(490, 560) = 3920

GCD(490, 560) = ( 490 x 560 ) / 3920

= 490 / 560

= 490


Step2:

LCM(70, 355) = 4970

GCD(70, 355) = ( 70 x 355 ) / 4970

= 70 / 355

= 70


Step3:

LCM(5, 732) = 3660

GCD(5, 732) = ( 5 x 732 ) / 3660

= 5 / 732

= 5


So, Greatest Common Divisor of 490, 560, 355, 732 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 490, 560, 355, 732

Given numbers are 490, 560, 355, 732
The greatest common divisor of numbers 490, 560, 355, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 560, 355, 732 is 1.

FAQs on GCD of 490, 560, 355, 732 Calculator

1. What is the GCD of 490, 560, 355, 732?

GCD of given numbers 490, 560, 355, 732 is 1


2. How to calculate the greatest common divisor of 490, 560, 355, 732?

We can find the highest common divisor of 490, 560, 355, 732 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 490, 560, 355, 732 i.e 1.


3. How can I use the GCD of 490, 560, 355, 732Calculator?

Out the numbers 490, 560, 355, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.