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GCD of 870, 960, 802, 367 Calculator

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


Online GCD Calculator is useful to find the GCD of 870, 960, 802, 367 quickly. Get the easiest ways to solve the greatest common divisor of 870, 960, 802, 367 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 870, 960, 802, 367 with Factoring?

Given Input numbers are 870, 960, 802, 367

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

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367


GCD of numbers is the greatest common divisor

So, the GCD (870, 960, 802, 367) = 1.

Find GCD of 870, 960, 802, 367 using Prime Factorization

Given numbers are 870, 960, 802, 367

The list of prime factors of all numbers are

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 802 are 2 x 401

Prime factors of 367 are 367

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

Steps to Calculate GCD of 870, 960, 802, 367 using LCM Formula

Given numbers are 870, 960, 802, 367

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

Apply this formula for all numbers.

Step1:

LCM(870, 960) = 27840

GCD(870, 960) = ( 870 x 960 ) / 27840

= 870 / 960

= 870


Step2:

LCM(30, 802) = 12030

GCD(30, 802) = ( 30 x 802 ) / 12030

= 30 / 802

= 30


Step3:

LCM(2, 367) = 734

GCD(2, 367) = ( 2 x 367 ) / 734

= 2 / 367

= 2


So, Greatest Common Divisor of 870, 960, 802, 367 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 870, 960, 802, 367

Given numbers are 870, 960, 802, 367
The greatest common divisor of numbers 870, 960, 802, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 960, 802, 367 is 1.

FAQs on GCD of 870, 960, 802, 367 Calculator

1. What is the GCD of 870, 960, 802, 367?

GCD of given numbers 870, 960, 802, 367 is 1


2. How to calculate the greatest common divisor of 870, 960, 802, 367?

We can find the highest common divisor of 870, 960, 802, 367 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 870, 960, 802, 367 i.e 1.


3. How can I use the GCD of 870, 960, 802, 367Calculator?

Out the numbers 870, 960, 802, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.