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GCD of 474, 705, 534, 442 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, 705, 534, 442 quickly. Get the easiest ways to solve the greatest common divisor of 474, 705, 534, 442 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 474, 705, 534, 442 with Factoring?

Given Input numbers are 474, 705, 534, 442

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 534 :

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

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442


GCD of numbers is the greatest common divisor

So, the GCD (474, 705, 534, 442) = 1.

Find GCD of 474, 705, 534, 442 using Prime Factorization

Given numbers are 474, 705, 534, 442

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 705 are 3 x 5 x 47

Prime factors of 534 are 2 x 3 x 89

Prime factors of 442 are 2 x 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 474, 705, 534, 442 using LCM Formula

Given numbers are 474, 705, 534, 442

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

Apply this formula for all numbers.

Step1:

LCM(474, 705) = 111390

GCD(474, 705) = ( 474 x 705 ) / 111390

= 474 / 705

= 474


Step2:

LCM(3, 534) = 534

GCD(3, 534) = ( 3 x 534 ) / 534

= 3 / 534

= 3


Step3:

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

= 3 / 442

= 3


So, Greatest Common Divisor of 474, 705, 534, 442 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 474, 705, 534, 442

Given numbers are 474, 705, 534, 442
The greatest common divisor of numbers 474, 705, 534, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 705, 534, 442 is 1.

FAQs on GCD of 474, 705, 534, 442 Calculator

1. What is the GCD of 474, 705, 534, 442?

GCD of given numbers 474, 705, 534, 442 is 1


2. How to calculate the greatest common divisor of 474, 705, 534, 442?

We can find the highest common divisor of 474, 705, 534, 442 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, 705, 534, 442 i.e 1.


3. How can I use the GCD of 474, 705, 534, 442Calculator?

Out the numbers 474, 705, 534, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.