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GCD of 534, 354, 834, 645 Calculator

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


Online GCD Calculator is useful to find the GCD of 534, 354, 834, 645 quickly. Get the easiest ways to solve the greatest common divisor of 534, 354, 834, 645 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 534, 354, 834, 645 with Factoring?

Given Input numbers are 534, 354, 834, 645

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

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645


GCD of numbers is the greatest common divisor

So, the GCD (534, 354, 834, 645) = 3.

Find GCD of 534, 354, 834, 645 using Prime Factorization

Given numbers are 534, 354, 834, 645

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

Prime factors of 354 are 2 x 3 x 59

Prime factors of 834 are 2 x 3 x 139

Prime factors of 645 are 3 x 5 x 43

The highest common occurrence is 31

Therefore, GCD of 534, 354, 834, 645 is 3.

Steps to Calculate GCD of 534, 354, 834, 645 using LCM Formula

Given numbers are 534, 354, 834, 645

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

Apply this formula for all numbers.

Step1:

LCM(534, 354) = 31506

GCD(534, 354) = ( 534 x 354 ) / 31506

= 534 / 354

= 534


Step2:

LCM(6, 834) = 834

GCD(6, 834) = ( 6 x 834 ) / 834

= 6 / 834

= 6


Step3:

LCM(6, 645) = 1290

GCD(6, 645) = ( 6 x 645 ) / 1290

= 6 / 645

= 6


So, Greatest Common Divisor of 534, 354, 834, 645 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 534, 354, 834, 645

Given numbers are 534, 354, 834, 645
The greatest common divisor of numbers 534, 354, 834, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 354, 834, 645 is 3.

FAQs on GCD of 534, 354, 834, 645 Calculator

1. What is the GCD of 534, 354, 834, 645?

GCD of given numbers 534, 354, 834, 645 is 3


2. How to calculate the greatest common divisor of 534, 354, 834, 645?

We can find the highest common divisor of 534, 354, 834, 645 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 534, 354, 834, 645 i.e 3.


3. How can I use the GCD of 534, 354, 834, 645Calculator?

Out the numbers 534, 354, 834, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.