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 649, 936, 870, 360 Calculator

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


Online GCD Calculator is useful to find the GCD of 649, 936, 870, 360 quickly. Get the easiest ways to solve the greatest common divisor of 649, 936, 870, 360 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 649, 936, 870, 360 with Factoring?

Given Input numbers are 649, 936, 870, 360

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

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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


GCD of numbers is the greatest common divisor

So, the GCD (649, 936, 870, 360) = 1.

Find GCD of 649, 936, 870, 360 using Prime Factorization

Given numbers are 649, 936, 870, 360

The list of prime factors of all numbers are

Prime factors of 649 are 11 x 59

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 870 are 2 x 3 x 5 x 29

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

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

Steps to Calculate GCD of 649, 936, 870, 360 using LCM Formula

Given numbers are 649, 936, 870, 360

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

Apply this formula for all numbers.

Step1:

LCM(649, 936) = 607464

GCD(649, 936) = ( 649 x 936 ) / 607464

= 649 / 936

= 649


Step2:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1


Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1


So, Greatest Common Divisor of 649, 936, 870, 360 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 649, 936, 870, 360

Given numbers are 649, 936, 870, 360
The greatest common divisor of numbers 649, 936, 870, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 649, 936, 870, 360 is 1.

FAQs on GCD of 649, 936, 870, 360 Calculator

1. What is the GCD of 649, 936, 870, 360?

GCD of given numbers 649, 936, 870, 360 is 1


2. How to calculate the greatest common divisor of 649, 936, 870, 360?

We can find the highest common divisor of 649, 936, 870, 360 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 649, 936, 870, 360 i.e 1.


3. How can I use the GCD of 649, 936, 870, 360Calculator?

Out the numbers 649, 936, 870, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.