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GCD of 774, 513, 669, 402 Calculator

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


Online GCD Calculator is useful to find the GCD of 774, 513, 669, 402 quickly. Get the easiest ways to solve the greatest common divisor of 774, 513, 669, 402 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 774, 513, 669, 402 with Factoring?

Given Input numbers are 774, 513, 669, 402

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402


GCD of numbers is the greatest common divisor

So, the GCD (774, 513, 669, 402) = 3.

Find GCD of 774, 513, 669, 402 using Prime Factorization

Given numbers are 774, 513, 669, 402

The list of prime factors of all numbers are

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 669 are 3 x 223

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 31

Therefore, GCD of 774, 513, 669, 402 is 3.

Steps to Calculate GCD of 774, 513, 669, 402 using LCM Formula

Given numbers are 774, 513, 669, 402

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

Apply this formula for all numbers.

Step1:

LCM(774, 513) = 44118

GCD(774, 513) = ( 774 x 513 ) / 44118

= 774 / 513

= 774


Step2:

LCM(9, 669) = 2007

GCD(9, 669) = ( 9 x 669 ) / 2007

= 9 / 669

= 9


Step3:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3


So, Greatest Common Divisor of 774, 513, 669, 402 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 774, 513, 669, 402

Given numbers are 774, 513, 669, 402
The greatest common divisor of numbers 774, 513, 669, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 513, 669, 402 is 3.

FAQs on GCD of 774, 513, 669, 402 Calculator

1. What is the GCD of 774, 513, 669, 402?

GCD of given numbers 774, 513, 669, 402 is 3


2. How to calculate the greatest common divisor of 774, 513, 669, 402?

We can find the highest common divisor of 774, 513, 669, 402 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 774, 513, 669, 402 i.e 3.


3. How can I use the GCD of 774, 513, 669, 402Calculator?

Out the numbers 774, 513, 669, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.