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GCD of 945, 753, 852, 888 Calculator

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


Online GCD Calculator is useful to find the GCD of 945, 753, 852, 888 quickly. Get the easiest ways to solve the greatest common divisor of 945, 753, 852, 888 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 753, 852, 888 with Factoring?

Given Input numbers are 945, 753, 852, 888

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 753 :

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

1, 3, 251, 753

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888


GCD of numbers is the greatest common divisor

So, the GCD (945, 753, 852, 888) = 3.

Find GCD of 945, 753, 852, 888 using Prime Factorization

Given numbers are 945, 753, 852, 888

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 753 are 3 x 251

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

The highest common occurrence is 31

Therefore, GCD of 945, 753, 852, 888 is 3.

Steps to Calculate GCD of 945, 753, 852, 888 using LCM Formula

Given numbers are 945, 753, 852, 888

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

Apply this formula for all numbers.

Step1:

LCM(945, 753) = 237195

GCD(945, 753) = ( 945 x 753 ) / 237195

= 945 / 753

= 945


Step2:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3


Step3:

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

= 3 / 888

= 3


So, Greatest Common Divisor of 945, 753, 852, 888 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 753, 852, 888

Given numbers are 945, 753, 852, 888
The greatest common divisor of numbers 945, 753, 852, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 753, 852, 888 is 3.

FAQs on GCD of 945, 753, 852, 888 Calculator

1. What is the GCD of 945, 753, 852, 888?

GCD of given numbers 945, 753, 852, 888 is 3


2. How to calculate the greatest common divisor of 945, 753, 852, 888?

We can find the highest common divisor of 945, 753, 852, 888 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 945, 753, 852, 888 i.e 3.


3. How can I use the GCD of 945, 753, 852, 888Calculator?

Out the numbers 945, 753, 852, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.