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 975, 978, 165, 104 Calculator

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


Online GCD Calculator is useful to find the GCD of 975, 978, 165, 104 quickly. Get the easiest ways to solve the greatest common divisor of 975, 978, 165, 104 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 978, 165, 104 with Factoring?

Given Input numbers are 975, 978, 165, 104

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 978 :

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

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104


GCD of numbers is the greatest common divisor

So, the GCD (975, 978, 165, 104) = 1.

Find GCD of 975, 978, 165, 104 using Prime Factorization

Given numbers are 975, 978, 165, 104

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 165 are 3 x 5 x 11

Prime factors of 104 are 2 x 2 x 2 x 13

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

Steps to Calculate GCD of 975, 978, 165, 104 using LCM Formula

Given numbers are 975, 978, 165, 104

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

Apply this formula for all numbers.

Step1:

LCM(975, 978) = 317850

GCD(975, 978) = ( 975 x 978 ) / 317850

= 975 / 978

= 975


Step2:

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

= 3 / 165

= 3


Step3:

LCM(3, 104) = 312

GCD(3, 104) = ( 3 x 104 ) / 312

= 3 / 104

= 3


So, Greatest Common Divisor of 975, 978, 165, 104 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 978, 165, 104

Given numbers are 975, 978, 165, 104
The greatest common divisor of numbers 975, 978, 165, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 978, 165, 104 is 1.

FAQs on GCD of 975, 978, 165, 104 Calculator

1. What is the GCD of 975, 978, 165, 104?

GCD of given numbers 975, 978, 165, 104 is 1


2. How to calculate the greatest common divisor of 975, 978, 165, 104?

We can find the highest common divisor of 975, 978, 165, 104 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 975, 978, 165, 104 i.e 1.


3. How can I use the GCD of 975, 978, 165, 104Calculator?

Out the numbers 975, 978, 165, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.