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GCD of 633, 969, 945, 426 Calculator

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


Online GCD Calculator is useful to find the GCD of 633, 969, 945, 426 quickly. Get the easiest ways to solve the greatest common divisor of 633, 969, 945, 426 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 633, 969, 945, 426 with Factoring?

Given Input numbers are 633, 969, 945, 426

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

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426


GCD of numbers is the greatest common divisor

So, the GCD (633, 969, 945, 426) = 3.

Find GCD of 633, 969, 945, 426 using Prime Factorization

Given numbers are 633, 969, 945, 426

The list of prime factors of all numbers are

Prime factors of 633 are 3 x 211

Prime factors of 969 are 3 x 17 x 19

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

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 31

Therefore, GCD of 633, 969, 945, 426 is 3.

Steps to Calculate GCD of 633, 969, 945, 426 using LCM Formula

Given numbers are 633, 969, 945, 426

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

Apply this formula for all numbers.

Step1:

LCM(633, 969) = 204459

GCD(633, 969) = ( 633 x 969 ) / 204459

= 633 / 969

= 633


Step2:

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

= 3 / 945

= 3


Step3:

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

= 3 / 426

= 3


So, Greatest Common Divisor of 633, 969, 945, 426 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 633, 969, 945, 426

Given numbers are 633, 969, 945, 426
The greatest common divisor of numbers 633, 969, 945, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 633, 969, 945, 426 is 3.

FAQs on GCD of 633, 969, 945, 426 Calculator

1. What is the GCD of 633, 969, 945, 426?

GCD of given numbers 633, 969, 945, 426 is 3


2. How to calculate the greatest common divisor of 633, 969, 945, 426?

We can find the highest common divisor of 633, 969, 945, 426 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 633, 969, 945, 426 i.e 3.


3. How can I use the GCD of 633, 969, 945, 426Calculator?

Out the numbers 633, 969, 945, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.