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GCD of 648, 969, 357, 954 Calculator

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


Online GCD Calculator is useful to find the GCD of 648, 969, 357, 954 quickly. Get the easiest ways to solve the greatest common divisor of 648, 969, 357, 954 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 648, 969, 357, 954 with Factoring?

Given Input numbers are 648, 969, 357, 954

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 969 :

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

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954


GCD of numbers is the greatest common divisor

So, the GCD (648, 969, 357, 954) = 3.

Find GCD of 648, 969, 357, 954 using Prime Factorization

Given numbers are 648, 969, 357, 954

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 969 are 3 x 17 x 19

Prime factors of 357 are 3 x 7 x 17

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 31

Therefore, GCD of 648, 969, 357, 954 is 3.

Steps to Calculate GCD of 648, 969, 357, 954 using LCM Formula

Given numbers are 648, 969, 357, 954

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

Apply this formula for all numbers.

Step1:

LCM(648, 969) = 209304

GCD(648, 969) = ( 648 x 969 ) / 209304

= 648 / 969

= 648


Step2:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3


Step3:

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

= 3 / 954

= 3


So, Greatest Common Divisor of 648, 969, 357, 954 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 648, 969, 357, 954

Given numbers are 648, 969, 357, 954
The greatest common divisor of numbers 648, 969, 357, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 969, 357, 954 is 3.

FAQs on GCD of 648, 969, 357, 954 Calculator

1. What is the GCD of 648, 969, 357, 954?

GCD of given numbers 648, 969, 357, 954 is 3


2. How to calculate the greatest common divisor of 648, 969, 357, 954?

We can find the highest common divisor of 648, 969, 357, 954 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 648, 969, 357, 954 i.e 3.


3. How can I use the GCD of 648, 969, 357, 954Calculator?

Out the numbers 648, 969, 357, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.