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GCD of 961, 741, 282, 600 Calculator

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


Online GCD Calculator is useful to find the GCD of 961, 741, 282, 600 quickly. Get the easiest ways to solve the greatest common divisor of 961, 741, 282, 600 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 961, 741, 282, 600 with Factoring?

Given Input numbers are 961, 741, 282, 600

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600


GCD of numbers is the greatest common divisor

So, the GCD (961, 741, 282, 600) = 1.

Find GCD of 961, 741, 282, 600 using Prime Factorization

Given numbers are 961, 741, 282, 600

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 741 are 3 x 13 x 19

Prime factors of 282 are 2 x 3 x 47

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Steps to Calculate GCD of 961, 741, 282, 600 using LCM Formula

Given numbers are 961, 741, 282, 600

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

Apply this formula for all numbers.

Step1:

LCM(961, 741) = 712101

GCD(961, 741) = ( 961 x 741 ) / 712101

= 961 / 741

= 961


Step2:

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

= 1 / 282

= 1


Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1


So, Greatest Common Divisor of 961, 741, 282, 600 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 961, 741, 282, 600

Given numbers are 961, 741, 282, 600
The greatest common divisor of numbers 961, 741, 282, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 741, 282, 600 is 1.

FAQs on GCD of 961, 741, 282, 600 Calculator

1. What is the GCD of 961, 741, 282, 600?

GCD of given numbers 961, 741, 282, 600 is 1


2. How to calculate the greatest common divisor of 961, 741, 282, 600?

We can find the highest common divisor of 961, 741, 282, 600 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 961, 741, 282, 600 i.e 1.


3. How can I use the GCD of 961, 741, 282, 600Calculator?

Out the numbers 961, 741, 282, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.