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GCD of 726, 945, 84, 628 Calculator

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


Online GCD Calculator is useful to find the GCD of 726, 945, 84, 628 quickly. Get the easiest ways to solve the greatest common divisor of 726, 945, 84, 628 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 726, 945, 84, 628 with Factoring?

Given Input numbers are 726, 945, 84, 628

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628


GCD of numbers is the greatest common divisor

So, the GCD (726, 945, 84, 628) = 1.

Find GCD of 726, 945, 84, 628 using Prime Factorization

Given numbers are 726, 945, 84, 628

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 628 are 2 x 2 x 157

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

Steps to Calculate GCD of 726, 945, 84, 628 using LCM Formula

Given numbers are 726, 945, 84, 628

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

Apply this formula for all numbers.

Step1:

LCM(726, 945) = 228690

GCD(726, 945) = ( 726 x 945 ) / 228690

= 726 / 945

= 726


Step2:

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

= 3 / 84

= 3


Step3:

LCM(3, 628) = 1884

GCD(3, 628) = ( 3 x 628 ) / 1884

= 3 / 628

= 3


So, Greatest Common Divisor of 726, 945, 84, 628 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 726, 945, 84, 628

Given numbers are 726, 945, 84, 628
The greatest common divisor of numbers 726, 945, 84, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 945, 84, 628 is 1.

FAQs on GCD of 726, 945, 84, 628 Calculator

1. What is the GCD of 726, 945, 84, 628?

GCD of given numbers 726, 945, 84, 628 is 1


2. How to calculate the greatest common divisor of 726, 945, 84, 628?

We can find the highest common divisor of 726, 945, 84, 628 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 726, 945, 84, 628 i.e 1.


3. How can I use the GCD of 726, 945, 84, 628Calculator?

Out the numbers 726, 945, 84, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.