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GCD of 800, 608, 978, 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 800, 608, 978, 965 quickly. Get the easiest ways to solve the greatest common divisor of 800, 608, 978, 965 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 608, 978, 965 with Factoring?

Given Input numbers are 800, 608, 978, 965

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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 (800, 608, 978, 965) = 1.

Find GCD of 800, 608, 978, 965 using Prime Factorization

Given numbers are 800, 608, 978, 965

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 978 are 2 x 3 x 163

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 800, 608, 978, 965 using LCM Formula

Given numbers are 800, 608, 978, 965

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

Apply this formula for all numbers.

Step1:

LCM(800, 608) = 15200

GCD(800, 608) = ( 800 x 608 ) / 15200

= 800 / 608

= 800


Step2:

LCM(32, 978) = 15648

GCD(32, 978) = ( 32 x 978 ) / 15648

= 32 / 978

= 32


Step3:

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

= 2 / 965

= 2


So, Greatest Common Divisor of 800, 608, 978, 965 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 608, 978, 965

Given numbers are 800, 608, 978, 965
The greatest common divisor of numbers 800, 608, 978, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 608, 978, 965 is 1.

FAQs on GCD of 800, 608, 978, 965 Calculator

1. What is the GCD of 800, 608, 978, 965?

GCD of given numbers 800, 608, 978, 965 is 1


2. How to calculate the greatest common divisor of 800, 608, 978, 965?

We can find the highest common divisor of 800, 608, 978, 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 800, 608, 978, 965 i.e 1.


3. How can I use the GCD of 800, 608, 978, 965Calculator?

Out the numbers 800, 608, 978, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.