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GCD of 474, 840, 367, 978 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, 840, 367, 978 quickly. Get the easiest ways to solve the greatest common divisor of 474, 840, 367, 978 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 474, 840, 367, 978 with Factoring?

Given Input numbers are 474, 840, 367, 978

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978


GCD of numbers is the greatest common divisor

So, the GCD (474, 840, 367, 978) = 1.

Find GCD of 474, 840, 367, 978 using Prime Factorization

Given numbers are 474, 840, 367, 978

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 367 are 367

Prime factors of 978 are 2 x 3 x 163

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

Steps to Calculate GCD of 474, 840, 367, 978 using LCM Formula

Given numbers are 474, 840, 367, 978

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

Apply this formula for all numbers.

Step1:

LCM(474, 840) = 66360

GCD(474, 840) = ( 474 x 840 ) / 66360

= 474 / 840

= 474


Step2:

LCM(6, 367) = 2202

GCD(6, 367) = ( 6 x 367 ) / 2202

= 6 / 367

= 6


Step3:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1


So, Greatest Common Divisor of 474, 840, 367, 978 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 474, 840, 367, 978

Given numbers are 474, 840, 367, 978
The greatest common divisor of numbers 474, 840, 367, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 840, 367, 978 is 1.

FAQs on GCD of 474, 840, 367, 978 Calculator

1. What is the GCD of 474, 840, 367, 978?

GCD of given numbers 474, 840, 367, 978 is 1


2. How to calculate the greatest common divisor of 474, 840, 367, 978?

We can find the highest common divisor of 474, 840, 367, 978 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, 840, 367, 978 i.e 1.


3. How can I use the GCD of 474, 840, 367, 978Calculator?

Out the numbers 474, 840, 367, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.