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GCD of 474, 765, 603, 675 Calculator

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


Online GCD Calculator is useful to find the GCD of 474, 765, 603, 675 quickly. Get the easiest ways to solve the greatest common divisor of 474, 765, 603, 675 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 474, 765, 603, 675 with Factoring?

Given Input numbers are 474, 765, 603, 675

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 603 :

The positive integer divisors of 603 that completely divides 603 are.

1, 3, 9, 67, 201, 603

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (474, 765, 603, 675) = 3.

Find GCD of 474, 765, 603, 675 using Prime Factorization

Given numbers are 474, 765, 603, 675

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 603 are 3 x 3 x 67

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 31

Therefore, GCD of 474, 765, 603, 675 is 3.

Steps to Calculate GCD of 474, 765, 603, 675 using LCM Formula

Given numbers are 474, 765, 603, 675

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

Apply this formula for all numbers.

Step1:

LCM(474, 765) = 120870

GCD(474, 765) = ( 474 x 765 ) / 120870

= 474 / 765

= 474


Step2:

LCM(3, 603) = 603

GCD(3, 603) = ( 3 x 603 ) / 603

= 3 / 603

= 3


Step3:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3


So, Greatest Common Divisor of 474, 765, 603, 675 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 474, 765, 603, 675

Given numbers are 474, 765, 603, 675
The greatest common divisor of numbers 474, 765, 603, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 765, 603, 675 is 3.

FAQs on GCD of 474, 765, 603, 675 Calculator

1. What is the GCD of 474, 765, 603, 675?

GCD of given numbers 474, 765, 603, 675 is 3


2. How to calculate the greatest common divisor of 474, 765, 603, 675?

We can find the highest common divisor of 474, 765, 603, 675 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 474, 765, 603, 675 i.e 3.


3. How can I use the GCD of 474, 765, 603, 675Calculator?

Out the numbers 474, 765, 603, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.