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GCD of 360, 101, 841, 965 Calculator

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


Online GCD Calculator is useful to find the GCD of 360, 101, 841, 965 quickly. Get the easiest ways to solve the greatest common divisor of 360, 101, 841, 965 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 101, 841, 965 with Factoring?

Given Input numbers are 360, 101, 841, 965

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965


GCD of numbers is the greatest common divisor

So, the GCD (360, 101, 841, 965) = 1.

Find GCD of 360, 101, 841, 965 using Prime Factorization

Given numbers are 360, 101, 841, 965

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 101 are 101

Prime factors of 841 are 29 x 29

Prime factors of 965 are 5 x 193

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

Steps to Calculate GCD of 360, 101, 841, 965 using LCM Formula

Given numbers are 360, 101, 841, 965

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

Apply this formula for all numbers.

Step1:

LCM(360, 101) = 36360

GCD(360, 101) = ( 360 x 101 ) / 36360

= 360 / 101

= 360


Step2:

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

= 1 / 841

= 1


Step3:

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

= 1 / 965

= 1


So, Greatest Common Divisor of 360, 101, 841, 965 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 101, 841, 965

Given numbers are 360, 101, 841, 965
The greatest common divisor of numbers 360, 101, 841, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 101, 841, 965 is 1.

FAQs on GCD of 360, 101, 841, 965 Calculator

1. What is the GCD of 360, 101, 841, 965?

GCD of given numbers 360, 101, 841, 965 is 1


2. How to calculate the greatest common divisor of 360, 101, 841, 965?

We can find the highest common divisor of 360, 101, 841, 965 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 360, 101, 841, 965 i.e 1.


3. How can I use the GCD of 360, 101, 841, 965Calculator?

Out the numbers 360, 101, 841, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.