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GCD of 141, 966, 753, 855 Calculator

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


Online GCD Calculator is useful to find the GCD of 141, 966, 753, 855 quickly. Get the easiest ways to solve the greatest common divisor of 141, 966, 753, 855 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 141, 966, 753, 855 with Factoring?

Given Input numbers are 141, 966, 753, 855

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

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855


GCD of numbers is the greatest common divisor

So, the GCD (141, 966, 753, 855) = 3.

Find GCD of 141, 966, 753, 855 using Prime Factorization

Given numbers are 141, 966, 753, 855

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 753 are 3 x 251

Prime factors of 855 are 3 x 3 x 5 x 19

The highest common occurrence is 31

Therefore, GCD of 141, 966, 753, 855 is 3.

Steps to Calculate GCD of 141, 966, 753, 855 using LCM Formula

Given numbers are 141, 966, 753, 855

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

Apply this formula for all numbers.

Step1:

LCM(141, 966) = 45402

GCD(141, 966) = ( 141 x 966 ) / 45402

= 141 / 966

= 141


Step2:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3


Step3:

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

= 3 / 855

= 3


So, Greatest Common Divisor of 141, 966, 753, 855 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 141, 966, 753, 855

Given numbers are 141, 966, 753, 855
The greatest common divisor of numbers 141, 966, 753, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 966, 753, 855 is 3.

FAQs on GCD of 141, 966, 753, 855 Calculator

1. What is the GCD of 141, 966, 753, 855?

GCD of given numbers 141, 966, 753, 855 is 3


2. How to calculate the greatest common divisor of 141, 966, 753, 855?

We can find the highest common divisor of 141, 966, 753, 855 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 141, 966, 753, 855 i.e 3.


3. How can I use the GCD of 141, 966, 753, 855Calculator?

Out the numbers 141, 966, 753, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.