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GCD of 208, 755, 987, 789 Calculator

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


Online GCD Calculator is useful to find the GCD of 208, 755, 987, 789 quickly. Get the easiest ways to solve the greatest common divisor of 208, 755, 987, 789 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 208, 755, 987, 789 with Factoring?

Given Input numbers are 208, 755, 987, 789

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789


GCD of numbers is the greatest common divisor

So, the GCD (208, 755, 987, 789) = 1.

Find GCD of 208, 755, 987, 789 using Prime Factorization

Given numbers are 208, 755, 987, 789

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 755 are 5 x 151

Prime factors of 987 are 3 x 7 x 47

Prime factors of 789 are 3 x 263

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

Steps to Calculate GCD of 208, 755, 987, 789 using LCM Formula

Given numbers are 208, 755, 987, 789

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

Apply this formula for all numbers.

Step1:

LCM(208, 755) = 157040

GCD(208, 755) = ( 208 x 755 ) / 157040

= 208 / 755

= 208


Step2:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1


Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1


So, Greatest Common Divisor of 208, 755, 987, 789 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 208, 755, 987, 789

Given numbers are 208, 755, 987, 789
The greatest common divisor of numbers 208, 755, 987, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 755, 987, 789 is 1.

FAQs on GCD of 208, 755, 987, 789 Calculator

1. What is the GCD of 208, 755, 987, 789?

GCD of given numbers 208, 755, 987, 789 is 1


2. How to calculate the greatest common divisor of 208, 755, 987, 789?

We can find the highest common divisor of 208, 755, 987, 789 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 208, 755, 987, 789 i.e 1.


3. How can I use the GCD of 208, 755, 987, 789Calculator?

Out the numbers 208, 755, 987, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.