LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 584, 912, 378, 147 Calculator

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


Online GCD Calculator is useful to find the GCD of 584, 912, 378, 147 quickly. Get the easiest ways to solve the greatest common divisor of 584, 912, 378, 147 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 584, 912, 378, 147 with Factoring?

Given Input numbers are 584, 912, 378, 147

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147


GCD of numbers is the greatest common divisor

So, the GCD (584, 912, 378, 147) = 1.

Find GCD of 584, 912, 378, 147 using Prime Factorization

Given numbers are 584, 912, 378, 147

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 147 are 3 x 7 x 7

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

Steps to Calculate GCD of 584, 912, 378, 147 using LCM Formula

Given numbers are 584, 912, 378, 147

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

Apply this formula for all numbers.

Step1:

LCM(584, 912) = 66576

GCD(584, 912) = ( 584 x 912 ) / 66576

= 584 / 912

= 584


Step2:

LCM(8, 378) = 1512

GCD(8, 378) = ( 8 x 378 ) / 1512

= 8 / 378

= 8


Step3:

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

= 2 / 147

= 2


So, Greatest Common Divisor of 584, 912, 378, 147 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 584, 912, 378, 147

Given numbers are 584, 912, 378, 147
The greatest common divisor of numbers 584, 912, 378, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 912, 378, 147 is 1.

FAQs on GCD of 584, 912, 378, 147 Calculator

1. What is the GCD of 584, 912, 378, 147?

GCD of given numbers 584, 912, 378, 147 is 1


2. How to calculate the greatest common divisor of 584, 912, 378, 147?

We can find the highest common divisor of 584, 912, 378, 147 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 584, 912, 378, 147 i.e 1.


3. How can I use the GCD of 584, 912, 378, 147Calculator?

Out the numbers 584, 912, 378, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.