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GCD of 17, 78, 22, 35 Calculator

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


Online GCD Calculator is useful to find the GCD of 17, 78, 22, 35 quickly. Get the easiest ways to solve the greatest common divisor of 17, 78, 22, 35 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 17, 78, 22, 35 with Factoring?

Given Input numbers are 17, 78, 22, 35

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

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35


GCD of numbers is the greatest common divisor

So, the GCD (17, 78, 22, 35) = 1.

Find GCD of 17, 78, 22, 35 using Prime Factorization

Given numbers are 17, 78, 22, 35

The list of prime factors of all numbers are

Prime factors of 17 are 17

Prime factors of 78 are 2 x 3 x 13

Prime factors of 22 are 2 x 11

Prime factors of 35 are 5 x 7

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

Steps to Calculate GCD of 17, 78, 22, 35 using LCM Formula

Given numbers are 17, 78, 22, 35

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

Apply this formula for all numbers.

Step1:

LCM(17, 78) = 1326

GCD(17, 78) = ( 17 x 78 ) / 1326

= 17 / 78

= 17


Step2:

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

= 1 / 22

= 1


Step3:

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

= 1 / 35

= 1


So, Greatest Common Divisor of 17, 78, 22, 35 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 17, 78, 22, 35

Given numbers are 17, 78, 22, 35
The greatest common divisor of numbers 17, 78, 22, 35 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 17, 78, 22, 35 is 1.

FAQs on GCD of 17, 78, 22, 35 Calculator

1. What is the GCD of 17, 78, 22, 35?

GCD of given numbers 17, 78, 22, 35 is 1


2. How to calculate the greatest common divisor of 17, 78, 22, 35?

We can find the highest common divisor of 17, 78, 22, 35 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 17, 78, 22, 35 i.e 1.


3. How can I use the GCD of 17, 78, 22, 35Calculator?

Out the numbers 17, 78, 22, 35 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.