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 678, 739, 270, 224 Calculator

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


Online GCD Calculator is useful to find the GCD of 678, 739, 270, 224 quickly. Get the easiest ways to solve the greatest common divisor of 678, 739, 270, 224 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 678, 739, 270, 224 with Factoring?

Given Input numbers are 678, 739, 270, 224

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224


GCD of numbers is the greatest common divisor

So, the GCD (678, 739, 270, 224) = 1.

Find GCD of 678, 739, 270, 224 using Prime Factorization

Given numbers are 678, 739, 270, 224

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 739 are 739

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 678, 739, 270, 224 using LCM Formula

Given numbers are 678, 739, 270, 224

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

Apply this formula for all numbers.

Step1:

LCM(678, 739) = 501042

GCD(678, 739) = ( 678 x 739 ) / 501042

= 678 / 739

= 678


Step2:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1


Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1


So, Greatest Common Divisor of 678, 739, 270, 224 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 678, 739, 270, 224

Given numbers are 678, 739, 270, 224
The greatest common divisor of numbers 678, 739, 270, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 739, 270, 224 is 1.

FAQs on GCD of 678, 739, 270, 224 Calculator

1. What is the GCD of 678, 739, 270, 224?

GCD of given numbers 678, 739, 270, 224 is 1


2. How to calculate the greatest common divisor of 678, 739, 270, 224?

We can find the highest common divisor of 678, 739, 270, 224 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 678, 739, 270, 224 i.e 1.


3. How can I use the GCD of 678, 739, 270, 224Calculator?

Out the numbers 678, 739, 270, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.